Mathematics College

For each pair of functions f and g below, find S (8 (x)) and
Please help

Answers

Answer 1

9514 1404 393

Answer:

(a) f(g(x)) = g(f(x)) = x; functions are inverses

(b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

(b)

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

f and g are not inverses of each other

Related Questions

Let f(t)=4-3t^2. Evaluate f(t+1).

Answers

Answer:

f=4-3t^2/t+1

Step-by-step explanation:

What lowest terms fraction is equal to 0.48

Answers

The lowest terms fraction that is equal to 0.48 is: 12/25

Nancy sold tickets to a school play. She sold $426 worth of tickets. She sold 8 more adult tickets than children tickets and 3 times as many senior tickets than children tickets. If children tickets are $3, senior tickets are $4 and adult tickets are $6, how many adult tickets did Nancy sell

Answers

Answer:

So number of Adult tickets sold = A = 26.

Step-by-step explanation:

Define A, C, S as

A = number of adult tickets,

C = number of children tickets,

S = number of Senior tickets.

Then, by the statement of the problem, we have that

A = 8 + C,

S = 3C,

3C + 4S + 6A = 426,

so that

3C + 4(3C) + 6(8 + C) = 426

3C + 12C + 48 + 6C = 426

21C + 48 = 426

7C + 16 = 142

7C = 126

C = 126/7 = 18

A = 8 + 18 = 26

S = 3(18) = 54

Jenelle bought a home for $320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years. Round your answers to the nearest cent.
How much money did Jenelle pay as a down payment? $

What was the original amount financed? $

What is her monthly payment? $

If Jenelle makes these payments every month for thirty years, determine the total amount of money she will spend on this home. Include the down payment in your answer. $

Answers

She paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Given that Jenelle bought a home for $ 320,000, paying 24% as a down payment, and financing the rest at 5% interest for 30 years, to determine how much money did Jenelle pay as a down payment, what was the original amount financed, what is her monthly payment, and the total amount of money she will spend on this home, the following calculations must be made:

320,000 x 0.24 = Down payment 76,800 = Down payment 243,200 x 1.05 ^ 30 = X 243,200 x 4.32 = X 1,051,096.38 = X 1,051,096.38 / (30 x 12) = X 2,919.71 = X 1,051,096.38 + 76,800 = 1,127,896.38

Therefore, she paid $ 76,800 as down payment, the original amount financed was $ 243,200, her monthly payment was $ 2,919.71, and the total amount she will spend on this home is $ 1,127,896.38.

Learn more in https://brainly.com/question/16711082

The graph of y = f (x) is given in the figure. Sketch = 1/2 ( + 2) − 2.

Answers

Answer:

y=1/2+2

Step-by-step explanation:

algebra ii question!

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It’s the first answer because it’s greatest value is 6.

Identify the independent and dependent variables in the following situation: Julie notices that her plant grows one inch for every liter of water that it receives. Question 17 options: The independent variable is the type of tap water used, and the dependent variable is the amount of water the plant receives. The independent variable is the amount of water the plant receives, and the dependent variable is the height of the plant. The independent variable is the height of the plant, and the dependent variable is the number of pieces of fruit the plant produces. The independent variable is the height of the plant, and the dependent variable is the amount of water the plant receives.

Answers

Determine the independent variable and dependent variable in the situation

The independent variable is the "amount of water the plant receives", and the dependent variable is the "height of the plant".

An independent variable is a the variable which causes a change.

A dependent variable is the result or effect of a change.

Therefore, the independent variable from the phenomena is "amount of water" and the dependent variable is the "height of the plant".

https://brainly.com/question/23700645

please answer the question above

Answers

If a polygon has 20 sides, then the sum of all of its interior angles is 3240°.

Points A(8,4)&B(-2,4) lie on a line .AB is parallel to which axis

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If the line is parallel they will have the same slope

Find an equation for the line below

Answers

Answer:

4+2=6-3

Step-by-step explanation:

Answer:

y=-0.5x+3.5

Step-by-step explanation:

Line k has an equation of y= 10/3x+9. Line l includes the point ( – 3, – 2) and is parallel to line k. What is the equation of line l?

Answers

You can write it in point-slope form like I did at the top, but I simplified it to slope-intercept (the answer with a square around it)

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

What is the equation of a parallel line?

Let the equation of the line be y = mx + c. Then the equation of the parallel line that is parallel to the line y = mx + c is given as,

y = mx + d

Line k has an equation of y= (10/3)x+9. Line l includes the point (–3, –2) and is parallel to line k.

y = (10/3)x + d

The equation of the line is passing through (–3, –2). Then the equation of the parallel line is given as,

–2 = (10/3)(–3) + d

–2 = –10 + d

d = 10 – 2

d = 8

The equation of the parallel line which is passing through the point (–3, –2) will be y = (10/3)x + 8.

More about the equation of a parallel line link is given below.

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Find the domain and range of this relation. Is it a function? {(0,0),(1,1),(2,4),4,-6)}

Answers

Answer:

Domain: {0,1,2,4}

Range: {0, 1, 4, -6}

Step-by-step explanation:

Hi there!

The domain is the set of all x-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The x-values are 0, 1, 2, and 4.

Domain: {0,1,2,4}

The range is the set of all y-values in a relation.

{(0,0),(1,1),(2,4),4,-6)}

The y-values are 0, 1, 4 and -6.

Range: {0, 1, 4, -6}

A function occurs when there is only one y-value for every x-value. This is the case for this relation, so therefore it is a function.

I hope this helps!

Find polynomial function of degree 3. Such that f(2)=24 and x-1, x and x+2 are factors of the polynomial

Answers

Answer:

Step-by-step explanation:

What is the answer X=-2(6+4)

Answers

Answer:

X = -20

Step-by-step explanation:

X = -2(6+4)

^ add 6 and 4 together first because they are in parentheses

-2(10)

^ this parenthesis means you want to multiply -2 and 10

because 2 x 10 = 20

that must mean -2 x 10 = -20

therefore, the value of X is -20

X= -20

Question 1
The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2). Compare the perimeters and the areas of the rectangles. Are the rectangles similar? Explain.

Answers

Answer:

yes

Step-by-step explanation:

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

What is the perimeter of the rectangle?

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2).

As per the given data, the figure of two rectangles has been attached below.

According to the graph,

The perimeter of the rectangle ABCD = 2(3 + 4) = 2(7) = 14 units

The perimeter of the rectangle WXYZ = 2(6 + 8) = 2(14) = 28 units

The area of the rectangle ABCD = (3 × 4) = 12 units²

The area of the rectangle WXYZ = (6 × 8) = 48 units²

The rectangles are similar because the ratio of length to width is equivalent.

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

Learn more about the Perimeter of the rectangle here:

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help with#14 please!!!

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]Question : 14

let's solve for f :

[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex]

[tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]

Taking reciprocal of both sides :

[tex]f = \dfrac{ab}{a + b} [/tex]

10
What is the volume of the rectangular prism,
if the length of one cube is 1 cm?

Answers

Answer:

60 cubic centimetres

4.72 × 3.4 equals what? Show work please ro gelp me understand

Answers

The answer is 16.048
The red line is the decimal point

If3r + 5y = 13 and 6r + 7 y = 20, find the value of

Answers

Answer:

Step-by-step explanation:

34-18-(-23) write as a single number

Answers

Answer: 39

Step-by-step explanation: 34-18=16+23=39. Remember, 2 negatives equals a positive.

Answer: 39 cus 34-18=16+23=39

Step-by-step explanation:

Help “ASAP” 50 points… What is the length of TU? Show all work proportions.

Answers

Answer:

48 units

Step-by-step explanation:

Similar triangles given:

ΔQPR ~ ΔUTV

The ratio of corresponding sides:

TU/PQ = UV/QRTU/60 = (20 + 60)/(60 + 40TU/60 = 80/100TU = 60*4/5 TU = 48

wii mark brainlest answer with explanation

Answers

A? It makes the most sense i gues... So sorry if wrong!

The mean of the numbers 15, 21, 17.26. 18,29
is 21. Calculate the standard deviation of the
numbers

Answers

Answer:

Step-by-step explanation:

=15+21+17+26+18+29/

/ 21

=126/21

solution needed step by step

Answers

Answer:

I am doinnnng ok just wait

Answer:

Points again!!!

Step-by-step explanation:

Hey thanks

give the quadratic sequence 2,3,10,23,........
write down the next term of the sequence.

Answers

Answer:

The next term of the sequence is 42

What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6

Answers

Answer:

Step-by-step explanation:

Help please :))) thank u

Answers

Answer:

The distance between A and B is 8.5 after rounded to the nearest tenth

Step-by-step explanation:

The formula you always use for distance between points is as pictured.

Point A is (-6, 4), this is x1 and y1

Point B is (2, 1), this is x2 and y2

(2-[-6])^2 + (1-4)^2

since 2 negatives make a positive, 2 - -6 = 8

1 - 4 = -3

This makes 8 squared and -3 squared

8x8 = 64

-3x-3 = 9

64 + 9 = 73

the square root of 73 = 8.544003745

After rounding to the nearest tenth, it is 8.5

I hope this helps you! Good luck :)

Help me or the milk gallon in your fridge will grow legs and run away.

Answers

Answer:

-1500

Step-by-step explanation:

If there are 3 people in the company then you can divide 4500 by 3 and you get 1500

Answer: c

Step-by-step explanation: -1,500. - is negative because they suffered a lost.

solve the equation 3/4x-5=x
give your answers correct to 2 decimal places

Answers

Answer:

x = - 20

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x - 5 = x ( multiply through by 4 to clear the fraction )

3x - 20 = 4x ( subtract 3x from both sides )

- 20 = x

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.

Test the claim that the mean lifetime of a particular car engine is greater than 220,000 miles. Sample data are summarized as n = 23, x-bar = 226,450 and s=11,500. Use a significance level of 5%. Determine the p-value.

0.993

0.007

0.05

0.018

0.004

Answers

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is tested if the mean lifetime is not greater than 220,000 miles, that is:

[tex]H_0: \mu \leq 220000[/tex]

At the alternative hypothesis, it is tested if the mean lifetime is greater than 220,000 miles, that is:

[tex]H_1: \mu > 220000[/tex].

We have the standard deviation for the sample, thus, the t-distribution is used. The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

For this problem:

[tex]\overline{x} = 226450, \mu = 220000, s = 11500, n = 23[/tex]

Then, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}[/tex]

[tex]t = 2.69[/tex]

We have a right-tailed test(test if the mean is greater than a value), with t = 2.69 and 23 - 1 = 22 df.

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at https://brainly.com/question/13873630

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For each pair of functions f and g below, find S (8 (x)) and Please help

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For each pair of functions f and g below, find S (8 (x)) and
Please help