Let A. B and C be sets such that A C B § C.
(a) Prove that if A and C are denumerable then A × B is countable.
(b) Prove that if A and C are denumerable then B is denunerable.
Answers
K is surjective.since k is both injective and surjective, it is a bijective mapping.
(a) to prove that if a and c are denumerable sets, then a × b is countable, we need to show that there exists a one-to-one correspondence between a × b and the set of natural numbers (countable set).since a and c are denumerable sets, there exist bijective mappings f: a → ℕ and g: c → ℕ, where ℕ represents the set of natural numbers.
now, let's define a mapping h: a × b → ℕ × ℕ as follows:h((a, b)) = (f(a), g(c))here, we are using the mappings f and g to assign a pair of natural numbers to each element (a, b) in a × b.
we need to prove that h is a one-to-one correspondence. to do this, we need to show that h is injective and surjective.(i) injectivity: assume that h((a, b)) = h((a', b')). this implies (f(a), g(c)) = (f(a'), g(c')). from this, we can conclude that f(a) = f(a') and g(c) = g(c'). since f and g are injective mappings, it follows that a = a' and c = c'. , (a, b) = (a', b'). hence, h is injective.
(ii) surjectivity: given any pair of natural numbers (n, m) ∈ ℕ × ℕ, we can find elements a ∈ a and c ∈ c such that f(a) = n and g(c) = m. this means that h((a, b)) = (f(a), g(c)) = (n, m). , h is surjective.since h is both injective and surjective, it is a bijective mapping. this establishes a one-to-one correspondence between a × b and ℕ × ℕ. since ℕ × ℕ is countable, it follows that a × b is countable.
(b) to prove that if a and c are denumerable sets, then b is denumerable, we can use a similar approach. since a and c are denumerable, there exist bijective mappings f: a → ℕ and g: c → ℕ.consider the mapping k: b → a × b defined as follows:
k(b) = (a, b)here, a is a fixed element in a. since a is denumerable, we can fix an ordering for its elements.
we need to prove that k is a one-to-one correspondence between b and a × b. to do this, we need to show that k is injective and surjective.(i) injectivity: assume that k(b) = k(b'). this implies (a, b) = (a, b'). from this, we can conclude that b = b'. , k is injective.
(ii) surjectivity: given any element (a', b') ∈ a × b, we can find an element b ∈ b such that k(b) = (a', b'). this is possible because we can choose b = b'. this establishes a one-to-one correspondence between b and a × b. since a × b is countable (as shown in part (a)), it follows that b is also denumerable.
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Related Questions
only matrices of the same ___ can be added or subtracted.
Answers
Only matrices of the same size can be added or subtracted.
A matrix is a rectangular array of numbers and is composed of rows and columns. In order to add or subtract matrices, the matrices must have the same number of rows and columns. If the matrices do not have the same size, they cannot be added or subtracted.
For example, if one matrix is a 2x3 matrix, the other matrix must also be a 2x3 matrix. Similarly, if one matrix is a 3x2 matrix, the other matrix must also be a 3x2 matrix. The numbers in each matrix may vary, but the size of the matrices must be the same for the operation to be valid.
When adding or subtracting matrices, the numbers in the same position (row and column) are added or subtracted. For example, if one matrix is [[1,2,3], [4,5,6], [7,8,9]] and the other matrix is [[2,4,6], [8,10,12], [14,16,18]], the resulting matrix would be [[3,6,9], [12,15,18], [21,24,27]].
Adding and subtracting matrices is a useful tool in mathematics and is often used to solve equations and simplify complex problems. It is important to remember that only matrices of the same size can be added or subtracted.
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How can intervention development be driven by ABC data that are collected on the function of the target behavior?a. Determine how the ABC contingency can be altered to promote more positive behavior.b. The antecedent condition can be replaced with reinforcement.c. The rate of the behavior can be calculated to set a baseline for shaping.d. All of the above.
Answers
Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )
The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.
By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.
Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.
Therefore,
Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )
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balancing work and school: is there a correlation between how many hours per week a student works outside of school and how many units the student takes in a quarter? a cluster sample of 482 students is chosen.
Answers
Yes, there is a correlation between the number of hours per week a student works outside of school and how many units the student takes in a quarter.
The cluster sample of 482 students is chosen in order to examine the relationship between these two variables. The statistical relationship between two variables is known as correlation.
The correlation coefficient r is used to determine the degree and direction of the correlation between two variables. The correlation coefficient is a numerical value that ranges from -1 to +1.
A negative correlation exists when one variable decreases as the other variable increases. A positive correlation exists when both variables increase or decrease together.
In this case, if the number of hours per week a student works outside of school increases, the number of units the student takes in a quarter may decrease, indicating a negative correlation between the two variables. Similarly, if the number of hours per week a student works outside of school decreases, the number of units the student takes in a quarter may increase, indicating a positive correlation between the two variables.
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solo savings bank received an initial deposit of $6000 it kept a percentage of this money in reserve based on the reserve rate and loaned out the rest the amount it loaned out was eventually all deposited back in the bank if the cycle continued indefinitely and eventually the $6000 turned into $200000 what was the reserve rate?
Answers
Answer:
Reserve rate = 3%
Step-by-step explanation:
Reserve Ratio = Reserve Maintained with Central Bank / Deposit Liabilities × 100
Reserve maintained = $6,000
Deposit liabilities = $200,000
Reserve Rate = Reserve Maintained with Central Bank / Deposit Liabilities × 1000
=$6,000 / $200,000 × 100
=0.03 × 100
r=0.03 × 100
=3%
Therefore,
Reserve Rate =3%
23. Monthly sales for your car wash for the first year were as shown.
Jul. $2,975
Aug. $3,025
Sep. $3,130
Jan. $2,750
Feb. $2,820
Mar. $2,875
Apr. $2,890
May $2,920
Jun. $2,960
Oct. $3,350
Nov. $3,400
Dec. $3,550
Calculate total sales and average monthly sales. Find the profit or
loss for the year, assuming that total expenses were $21,250. Find
the average monthly growth rate. If sales continue to grow at this
rate, what will sales be for each month next year?
Answers
Answer:
I don't know this answer
7. Margo can read 22 pages in 30 minutes.
How long would it take her to read a 100-page book?
Answers
Answer: x = 136.4 minutes
Step-by-step explanation:
x = (100/22)(30) minutes = 136.4 minutes
Please help.. ty if you do
Answers
Answer:B
Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer
find the value of x.
Answers
Answer:
x = 116
Step-by-step explanation:
The sum of the angles of a 4 sided polygon is 360
96+x+64+84 = 360
Combine like terms
x+244=360
Subtract 244 from each side
x+244-244=360-244
x = 116
Sum of all angles of a quadrilateral = 360°
So, 96° + 84° + 64° + x° = 360°
=> 244° + x° = 360°
=> x° = 360° - 244°
=> x° = 116°
=> x = 116
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Suppose annual salaries for sales associates from a particular store have a bell-shaped distribution with a mean of $32,500 and a standard deviation of $2,500. Refer to Exhibit 3-3. The z-score for a sales associate from this store who earns $37,500 is
Answers
To find the z-score for a sales associate who earns $37,500, we can use the formula:
z = (x - μ) / σ
Where:
x is the value we want to convert to a z-score (in this case, $37,500),
μ is the mean of the distribution (in this case, $32,500), and
σ is the standard deviation of the distribution (in this case, $2,500).
Substituting the given values into the formula, we have:
z = (37,500 - 32,500) / 2,500
z = 5,000 / 2,500
z = 2
Therefore, the z-score for a sales associate who earns $37,500 is 2.
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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.
Explanation:The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.
We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:
Z = (Value - Mean) / Standard Deviation
So, the z-score for an associate earning $37,500 would be:
Z = ($37,500 - $32,500) / $2,500
This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.
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You are shopping for single-use cameras to hand out at a party. The daylight cameras cost $2.75 and the flash cameras cost$4.25. You must buy exactly 20 cameras and you want to spend between $65 and$75, inclusive. Write and solve a compound inequality for this situation. Then list all the solutions that involve whole numbers of cameras.
Answers
The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.
To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.
To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.
After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:
(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).
These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.
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Noah is
Helping his band sell boxes of chocolate to fund a field trip. Each box contains 20 bars and each bar sells for $1. 50. Write an equation for the amount of money M that will be collected if B boxes of chocolate bars are sold
Answers
The equation for money collected m for h boxes of chocolate bars sold is m = 30h.
We are given that the band is selling every bar of chocolate for $1.50
Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.
Hence if we are going to calculate the amount of money collected on selling one box it will be
20 X $1.5
= $30
We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.
We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h
Now we know that
Money collected = price per box X no.of boxes sold
we have already calculated the price per box hence we get
m = 30h
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How do you do this ??
Answers
Answer: 0.42
Step-by-step explanation:
It is 0.7*0.6
Answer: It is Fruit
Step-by-step explanation: It is Fruit because it say Probability so Fruit says 0.7 and the CD says 0.6 so Fruit have more so it Fruit!!!!!.
will mark brainliest! in kite UVWX, m
Answers
Answer:
52
Step-by-step explanation:
An r of .60 was obtained between IQ (X) and number correct on a word-recognition test (Y) in a large sample of adults. For each of the following, indicate whether or not r would be affected, and if so, how (treat each modification as independent of the others):
(a) Y is changed to number of words incorrect.
(b) Each value of IQ is divided by 10.
(c) Ten points are added to each value of Y.
(d) You randomly add a point to some IQs and subtract a point from others.
(e) Ten points are added to each Y score and each value of X is divided by 10.
(f) Word-recognition scores are converted to z scores.
(g) Only the scores of adults whose IQs exceed 120 are used in calculating r.
Answers
The effect on the correlation coefficient, r for each of the following is as follows:
(a) Y is changed to number of words incorrect - will affect r
(b) Each value of IQ is divided by 10 - no effect on r
(c) Ten points are added to each value of Y - no effect on r
(d) You randomly add a point to some IQs and subtract a point from others - no effect on r
(e) Ten points are added to each Y score and each value of X is divided by 10 - no effect on r
(f) Word-recognition scores are converted to z scores - no effect on r
(g) Only the scores of adults whose IQs exceed 120 are used in calculating r - will affect r
What would be the effect on r for the given treatments?(a) Changing Y to the number of words incorrect would affect the correlation coefficient r.
The sign of the correlation would be reversed, meaning that if the original correlation was positive, it would become negative, and vice versa.
(b) Dividing each value of IQ by 10 would not affect the correlation coefficient r.
The correlation coefficient measures the strength and direction of the linear relationship between two variables, and dividing all values by a constant does not change the relationship.
(c) Adding ten points to each value of Y would not affect the correlation coefficient r.
Shifting the scores by a constant does not change the strength or direction of the linear relationship between X and Y.
(d) Randomly adding or subtracting a point to some IQs would not affect the correlation coefficient r.
The correlation coefficient measures the overall linear relationship between X and Y, and random changes to individual values do not alter this overall relationship.
(e) Adding ten points to each Y score and dividing each value of X by 10 would not affect the correlation coefficient r.
Shifting the scores and scaling one variable by a constant does not change the linear relationship between X and Y.
(f) Converting word-recognition scores to z-scores would not affect the correlation coefficient r.
Standardizing the variables by converting them to z-scores only changes the scale of the variables, not their relationship.
(g) Considering only the scores of adults whose IQs exceed 120 would affect the correlation coefficient r.
By restricting the range of the IQ variable, the correlation coefficient may change in magnitude or direction, depending on the relationship between IQ and word recognition scores in this specific subset of the sample.
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Find the third side of the following triangle.
A= 15
B= 8
C= ?
Answers
Answer:
17
Step-by-step explanation:
i need help :/
('_')
Answers
Answer:
Z=20 Degrees
Step-by-step explanation:
We know that all of the angles of a triangle add up to 180, so:
65+55+ Angle A = 180
Simplify:
120+ Angle A = 180
Subtract 120 from both sides:
Angle A = 60
If you look at the bottom you can see that the 15 turns into 5, meaning it is being divided by 3, so:
60/3=20
Z=20 Degrees
Answer:
Angle E is 60 degrees
Step-by-step explanation:
So z is an angle.
That would be point E.
This triangle was dilatated so we can match it up with the larger one. In a dilation, angle measures do not change. So matching up the points E would be equal to A, which of course it the only one with an angle measure not given.
All you have to do is add up the two angle measures and subtract that by 180 (total of all angles combined).
So 65+55=120
180-120=60
Angle A is 60
Which makes angle E 60 as well
Hope that helps!
The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
Answers
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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If a function has a point at (-7, -6), the corresponding point on the inverse of the function will have a y value of
Answers
Answer: -7
Step-by-step explanation:
To find the inverse of the point, we switch the x-value and the y-value.
(-7, -6) ➜ (-6, -7)
Points are written in (x, y), so the point with have a y-value of -7.
What is (9.3x10^34) in scientific notation?
(3.1x 10^17)
Answers
Answer:
B
Step-by-step explanation:
3 x 10 ^17
Which is B
edit: So when doing scientific notation, you just divide the important first number of 9.3 or whatever by 3.1 like normal.
Then, when doing exponents, heres a rule of thumb.
When adding exponents, the base must be the same.
9.3 ^ 100 + 9.3 ^ 3 = 9.3 ^103
9.3 ^ 29 + 4.4 ^ 54 = cannot be solved
When subtracting exponents, the same rule applies as adding, the bases must be the same, otherwise, you just subtract or add like normal.
When dividing exponents, you just subtract exponents. The bases must be the same though of course.
3 ^ 30
----------
3 ^ 20
==== 3 ^ 10
When multiplying exponents, you add exponents like normal. Bases are the same ect.
4 ^ 49 x 4 ^ 2 = 4 ^ 51
When doing scientific notation, the same rule applies.
The 10 is the base, so in your case, you divide the 9.3 and 3.1 like normal to get 3.
The exponent by the 10 is subtracted to get 17 since 34 - 17 = 17.
Pretty please answer asap! thank you so much for your time <333
:D
Answers
Answer:
B
Step-by-step explanation:
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
Answer:
B
Step-by-step explanation:
B because the slope/ gradient is -1/2, which is the reciprocal of the equation's gradient that we have, which is 2.
Find the area and circumference of each circle.
Answers
The area and circumference of each circle are 78.5cm², 31.4cm, 113.04cm², 37.68cm, 28.26cm², 18.84cm and 153.86cm², 43.96cm respectively
What is the area of a circleUsing the formula of area of a circle and circumference of a circle, we can solve for each circle as
a.
The area is given as;
A = πr²
A = 3.14 * 5²
A = 78.5cm²
The circumference = 2πr
C = 2 * 3.14 * 5 = 31.4cm
b
A = πr²
A = 3.14 * 6²
A = 113.04cm²
C = 2πr
C = 2 * 3.14 * 6
C = 37.68cm
c.
A = πr²
A = 3.14 * 3²
A = 28.26cm²
C = 2 * 3.14 * 3
C = 18.84cm
d.
A = πr²
A = 3.14 * 7²
A = 153.86cm²
C = 2πr
C = 2 * 3.14 * 7
C = 43.96cm
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The student council at Clarksville High School is making T-shirts to sell for a fundraiser, at a price of $10 apiece. The costs, meanwhile, are $8 per shirt, plus a setup fee of $98. Selling a certain number of shirts will allow the student council to cover their costs. What will the costs be? How many shirts must be sold?
Answers
Answer:
Costs are $490
49 shirts are sold
Step-by-step explanation:
98 + 8x = 10x
98 = 2x
49 = x
98 + 8(49) = $490 in costs
49 shirts sold
Which of the following ratios is equivalent to 1/3?
A.1:3
B.2:3
C.2:1
D.1:2
Answers
Answer:
A
Step-by-step explanation:
because 1/3 is like saying 1 out of 3 and 1:3 is like saying 1 for every 3. same thing.
Karen owns a seafood restaurant. She orders trout from an online retailer.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order. However, if Karen orders 10 or more pounds, the trout
costs only $24 per pound, but the shipping fee is $6.
Which piecewise function models the cost of x pounds of trout?
A. f(x) =
30x + 2, 0 < x < 10
24x + 6, 2 > 10
O B. f(2)=
24x + 6, 0 << < 10
30% +2, 2 > 10
O c. f() =
{
30x + 2, 0 << < 10
24x + 6, 3 > 10
D. f(x) =
24x + 6, 0 < x < 10
30x + 2, 3 > 10
< PREVIOUS
Answers
Answer: 30x+2, 0<x<10
24x+6, x>10
Step-by-step explanation:
Make sure the x>6 has the line under the >. It would not let me enter it like that.
The piecewise function that models the cost of x pounds of trout is: \(\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }\),
What is piecewise function?"It is a function that is defined on a sequence of intervals."
For given question,
'x' represents number of pound of trout.
Each pound of trout costs $30, and the company charges a $2 fee for
shipping the order.
We write this in equation form as,
f(x) = 30x + 2
This is possible if Karen orders less than 10 pounds.
So, the function would be,
f(x) = 30x + 2, 0 < x < 10
If Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6.
This means, the function would be,
f(x) = 24x + 6, x > 10
Hence, the piecewise function that models the cost of x pounds of trout is: \(\bold{f(x)=\left \{ {{30x + 2,~~0 < x < 10} \atop {24x + 6,~~~x > 10}} \right. }\)
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Simplify 2 to the 5th over 3 squared all raised to the 4th power
Answers
Answer:
In chemistry, an element is a pure substance consisting only of atoms that all have the same numbers of protons in their atomic nuclei. Unlike chemical compounds, chemical elements cannot be broken down into simpler substances by chemical means.
4. a box has 14 balls that are numbered 1 through 14. suppose 5 balls are selected without replacement. (a) what is the probability that 9 is the largest number drawn? (b) what is the probability that the largest number drawn is less than or equal to 9?
Answers
The probability that the largest number drawn is less than or equal to 9 is approximately 0.9936.
(a) The probability that 9 is the largest number drawn is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or (9 choose 5) / (14 choose 5).
(b) The probability that the largest number drawn is less than or equal to 9 is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or the sum of (i) (9 choose 5) / (14 choose 5) and (ii) (8 choose 5) / (14 choose 5) and (iii) ... (5 choose 5) / (14 choose 5).
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The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
Answers
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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This is Evaluating Functions.Replace the X values with the number in the question ("Find f( )" )
Answers
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Given the following function:
f(x) = 3x - 3
Let's determine the value at f(-3),
This means that we will be replacing all x variables of f(x) by -3.
We get,
f(x) = 3x - 3
f(-3) = 3(-3) - 3
= -9 - 3
f(-3) = -12
Therefore, f(-3) = -12
Multiply. Express your answer in simplest form.
11 1/7 × 4 2/7
Answers
Answer as improper fraction: 2340/49
Answer as mixed number: 47 37/49
If f(x)=√x - 7 and g(x) = 9x-5 which statement is true?
Answers
Answer:-7 if you allow complex numbers is in the domain of f of g. It is not in the domain if you disallow complex values
Step-by-step explanation:the domain is the set of x variables that produce a value for y. If you plug in -7 for x you get a negative value in the radical producing an imaginary number. If you allow complex values then x is in the domain. Otherwise it is not
Answer:
-7 is NOT in the domain.
Step-by-step explanation:
Platoweb said it was correct