For the given functions f and g find the indicated composition. f(x) = -2x + 2, g(x) = 3x + 2 A. - 6x - 4.B. - 6x + 8.C. 6x + 8.D. - 6x + 6.Find the Inverse of the one-to-one function. f(x) = 4x + 8

Answers

Answer 1

Answer:

i'm not sure if it is right

Step-by-step explanation:

1, B

g(f(x)) --> g(-2x+2)=3x+2

              g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8

2,

#1: Write as a linear equation

     y=4x+8

#2: Swap x and y variables

     x=4y+8

#3: Solve for y

     4y+8=x

     4y=x-8

       y=[tex]\frac{x-8}{4}[/tex]

#4: Write in inverse notation:

[tex]f^{-1}[/tex](x)=[tex]\frac{x-8}{4}[/tex]= (x/4) - 2

                                 


Related Questions

In which number 2 worth one-tenth as much as it is in the number 378,215 A.439,592 B.657,423 C.872,551 D.939,264

Answers

Answer:

i would say b since its 1 placement lower

Step-by-step explanation:

Warehouse Club Membership If the annual fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation y = 100 - 0.02x models the actual annual cost of the membership y, in dollars. Here x represents the annual amount of club purchases, also in dollars. (a) Determine the actual annual cost of the membership if club purchases for the year are $2400 (b) What amount of club purchases would reduce the actual annual cost of the mem bership to $50? ) How much would a member have to spend in annual club purchases to reduce the annual membership cost to $0?

Answers

Answer:

(a) $52

(b) $2500

(c) $5000

Step-by-step explanation:

(a) y = 100 - 0.02x

x = 2400

y = 100 - 0.02(2400)

y = 100 - 48

y = 52

$52

(b) 50 = 100 - 0.02x

-50 = -0.02x

x = 2500

$2500

(c) 0 = 100 - 0.02x

0.02x = 100

x = 5000

$5000

what is f(g(13)) ? A mapping diagram is shown.

Answers

Answer:

im about 90% sure its 32

Step-by-step explanation:

Select the correct answer from each drop-down menu. Ashton works as a marketing manager for a consumer products firm. His total earnings, A, in x months is given by the function A(x) = 2,400x + 40x2. His total savings, S, in x months is given by the function S(x) = 250x + 500. The function E(x) = represents Ashton’s total expenses in x months. Ashton’s expenses for 3 years total $

Answers

Answer:

E(x) = 40x² + 2150x - 500E(36) = $128740

Step-by-step explanation:

Earnings = A(x)Savings = S(x)Expenses = E(x)

Savings = Earnings - Expenses Expenses = Earnings - Savings

E(x) = A(x) - S(x)E(x) = 2400x + 40x² - (250x + 500) E(x) = 2400x + 40x² - 250x - 500 E(x) = 40x² + 2150x - 500

E(3 years) = E(36 months)

E(36) = 40*36² + 2150*36 - 500=  $128740

The endpoints of RS are R(−4,3) and S(16,18). Complete each statement using a fraction.
a. (8,12) is the point​ ___ of the way from R to S.
b. (0,6) is the point​ ___ of the way from R to S.

Answers

Answer:

a) (8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S, b) (0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

Step-by-step explanation:

Let be [tex]X[/tex] a point in the line between endpoints [tex]R[/tex] and [tex]S[/tex]. The ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is given by:

[tex]r = \frac{RX}{RS}[/tex]

Where:

[tex]RX = \sqrt{(x_{X}-x_{R})^{2}+(y_{X}-y_{R})^{2}}[/tex]

[tex]RS = \sqrt{(x_{S}-x_{R})^{2}+(y_{S}-y_{R})^{2}}[/tex]

Let be [tex]x_{R} = -4[/tex], [tex]y_{R} = 3[/tex], [tex]x_{S} = 16[/tex] and [tex]y_{S} = 18[/tex].

a) If we know that [tex]x_{X} = 8[/tex] and [tex]y_{X} = 12[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[8-(-4)]^{2}+(12-3)^{2}}[/tex]

[tex]RX = 15[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{15}{25}[/tex]

[tex]r = \frac{3}{5}[/tex]

(8,12) is the point [tex]\frac{3}{5}[/tex] of the way from R to S.

b) If we know that [tex]x_{X} = 0[/tex] and [tex]y_{X} = 6[/tex], the ratio of the line segment [tex]RX[/tex] to the line segment [tex]RS[/tex] is:

[tex]RX =\sqrt{[0-(-4)]^{2}+(6-3)^{2}}[/tex]

[tex]RX = 5[/tex]

[tex]RS =\sqrt{[16-(-4)]^{2}+(18-3)^{2}}[/tex]

[tex]RS = 25[/tex]

Then,

[tex]r = \frac{5}{25}[/tex]

[tex]r = \frac{1}{5}[/tex]

(0, 6) is the point [tex]\frac{1}{5}[/tex] of the way from R to S.

ILL GIVE YOU BRAINLIST !!

Flying L helicopter was flying 400 feet above sea level, then descended 100 feet to
avoid bad weather. When the clouds cleared, it ascended 200 feet. Write an expression, then determine the integer that represents Flying L's elevation now.

Answers

Answer:

500ft

Step-by-step explanation:

Elevation = 400ft-100ft+200ft

Elevation = 500ft

If you need an expression with only variables, set 400, 100, 200, and elevation as separate variables

On a recent quiz, the class mean was 70 with a standard deviation of 2.1. Calculate the z-score (to 4 decimal places) for a person who received score of 76.

Answers

The equation to find a z score is (x- mean)/(standard deviation)

So, in this case the equation would be
(76-70)/(2.1)

For,
X=76
Mean=70
Standard Deviation= 2.1

After solving we find that the z score equals 2.85714

or

2.8571

I need help please it’s really hard and I don’t understand it

Answers

The line segment HI has length 3x - 5, and IJ has length x - 1.

We're told that HJ has length 7x - 27.

The segment HJ is made up by connecting the segments HI and IJ, so the length of HJ is equal to the sum of the lengths of HI and IJ.

This means we have

7x - 27 = (3x - 5) + (x - 1)

Solve for x :

7x - 27 = (3x + x) + (-5 - 1)

7x - 27 = 4x - 6

7x - 4x = 27 - 6

3x = 21

x = 21/3

x = 7

PLEASE HELP 15 POINTS!!!!!! What is the value of x?

Answers

Answer:

128 degrees

Step-by-step explanation:

Remember : Sum of all angles in a hexagon is 720°!

Thus,

128° + 100° + 120° + X + 112° + 133° =720°

=> 593 + X = 720

=> X = 127°

Plz help 7th grade math

Answers

Divide 9 from 5 and you should get the range

what is equalvent to neagative -8

Answers

Positive +8 is equivalent to -8

solve for x



x/3 + 14 = 35
Can you help?

Answers

Answer:

X=63

Step-by-step explanation:

Im pretty sure at least

The answer for it isX=63

Please solve 2x+6 > 20

Answers

Answer:

See below.

Step-by-step explanation:

So we have the inequality:

[tex]2x+6>20[/tex]

Subtract 6 from both sides:

[tex]2x>14[/tex]

Divide both sides by 2:

[tex]x>7[/tex]

So, the solution is all numbers greater than 7.

And we're done!

Suppose there are two scale drawings of the same house. One uses the scale of 1 cm to 2 m, and the other uses the scale 1 cm to 4 m. Which drawing is larger?

Answers

Answer:

it's 1 cm to 2 m

Step-by-step explanation:

Sometimes two different scales are actually equivalent, such as 5 cm to 10 m and 1 cm to 2 m. It is common to write a scale so that it tells you what one unit on the scale drawing represents (for example, 1 cm to 2 m).

Please helppppp!!!!!!!

Answers

Answer:

K 2

J 4

Step-by-step explanation:

Solved it as an equation 2 x+x=6

x= number of miles Katie drives

It is 12 Multiplication

Under normal conditions, 1.5 feet of snow will melt into 2 inches of water. After a recent snowstorm, there were 4 feet of snow. How many inches of water will there be when the snow melts?

Answers

Answer:

The answer im pretty sure is 5.33 inches of water.

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

Answers

Answer:

Here you go

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer

Answer:

3

Step-by-step explanation:

(3x10)=30

30x8=240

(10x8)=80

240/80=3

Round 491,778 to the nearest hundred

Answers

Answer:

491,800!

Step-by-step explanation:

Rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Given,

491,778

We need to round 491,778 to the nearest hundred.

What is the place value of a given number?

The different place value is given below:
Example: 468975

4 - hundred thousands

6 - ten thousands

8 - thousands

9 - hundreds

7 - tens

5 - ones

Which number 491,778 is in the hundred place value.

= The number 7 in 491,778 is in the hundred place value.

Round 491.778 to its nearest hundreds.

= 491,778

Since 7 is in the hundred place value we need to round 778 to its nearest hundred.

It is either 700 or 800.

Since 778 is greater than or equal to 750.

We will round it to 800.

491,800 is our answer.

Thus rounding 491,778 to the nearest hundred we get 491,800 as our answer.

Learn more about comparing place values in numbers here:

https://brainly.com/question/21467438

#SPJ2

A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?

Be sure to use the correct place value.

Answers

Answer:

Sales tax=$31.53

The total price is: $557.03

Step-by-step explanation:

$525.50*0.06=$31.53

Find the volume of the solid shown or described. If necessary round to the nearest tenth. Find the volume of the figure below. Round to the nearest tenth. M

Answers

Answer:

C) 3057.6 cm³

Step-by-step explanation:

Rectangular prism: 20x11x9=1980

Cylinder: [tex]\pi[/tex]r²h = [tex]\pi[/tex]X7x7x7=1077.57

1980+1077.57=3057.57

simplify 5(x – 2) + 11

Answers

Answer:

1/5

Step-by-step explanation:

Step 1:

5x - 10 + 11

Step 2:

5x = 1

Answer:

x = 1/5

Hope This Helps :)

If the Perimeter of the triangle 15 centimeters, what is the value of n

Answers

Answer:

Step-by-step explanation:

n+2n+1+5n-6=15

= 8n + 1 - 6= 15

= 8n + 1 - 6 + 6 = 15 + 6

= 8n +1 = 21

= 8n + 1 - 1 = 21 - 1

=8n = 20

= 8n / 8 = 20 / 8

= n = 2.5

the value of ‘n’ is 2.5

The value of n in the triangle is 2.5

How to determine the value of n?

The perimeter of the triangle is the sum of its side lengths.

So, we have:

P = n + 2n + 1 + 5n - 6

Evaluate the like terms

P = 8n - 5

The perimeter is 15.

So, we have:

8n - 5 = 15

Add 5 to both sides

8n = 20

Divide by 8

n = 2.5

Hence, the value of n is 2.5

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ6

At a grocery store, almonds are on sale for $3.78 per pound. What is the price of 4.5 pounds? Please show explanation

Answers

Answer:
$17.01
Step-by-step explanation:
To find the the price, you must find price per pound x how many pounds you will be priced for
price per pound x how many pounds you will be priced for
This is represented by 3.78 x 4.5
3.78 x 4.5 = 17.01
$17.01 is the cost of 4.5 pounds of almonds

Answer:

17.01 pounds

Step-by-step explanation:

3.78 x 4.5 = 17.01

Hope this helps!

Story Problem
Joseph's lunch at a restaurant costs $13.00, without tax. He leaves the
waiter a tip of 15% of the cost of the lunch, without tax. What is the total cost
of the lunch, including the tip, without tax?

Answers

14.95 would be the answer

Solve the equation for the indicated variable. A=r+rvf, for v

Answers

Answera=frv+r

Step-by-step explanationa=r+rvf

To solve for a variable in an equation means that we change the subject of the formula. The solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Given that:

[tex]A = r + rvf[/tex]

Subtract r from both sides

[tex]A - r = rvf[/tex]

Divide both sides by rf

[tex]\frac{A - r}{rf} = v[/tex]

Rewrite as:

[tex]v=\frac{A - r}{rf}[/tex]

Hence, the solution to the equation for variable v is:

[tex]\frac{A - r}{rf} = v[/tex]

Read more about subject of the formula at:

https://brainly.com/question/16955788

11. If a square has an area of 121 square meters, what is the side length? A. 60.5 m B. 12 m C. 11 m D. 484 m​

Answers

Answc

Step-by-step explanation:

answer= C. 11m

Need some help on this question Select the polynomial that is divisible by (x-1).

Answers

Answer:

A

Step-by-step explanation:

p(x)=5x^3−4x^2−x

235 people are at RSM summer camp. There are 35 more boys than girls, and 70 fewer adults than girls. How many people of each group are at the camp?

Answers

Answer:

The number of girls are 90 girls

The number of boys are 125 boys

The number of adults are 20 adults

There are 90 girls, 125 boys and 20 adults at the camp

Step-by-step explanation:

The total number of people is given as 235 people

The number of boys = 35 + The number of girls

The number of adults = The number of girls - 70

Let the total number of girls = G

Therefore, we have;

The number of boys = 35 + G

The number of adults = G - 70

The total number of persons = The number of boys + The number of adults  +  The number of girls

Therefore;

235 = The number of boys + The number of adults  +  The number of girls

Which gives;

235 = 35 + G + G - 70 + G = 3·G - 35

235 = 3·G - 35

3·G - 35 = 235

3·G = 235 + 35  = 270

G = 270/3 = 90

The number of girls = 90

The number of boys = 35 + The number of girls = 35 + 90 = 125

The number of boys =  125

The number of adults = The number of girls - 70 = 90 - 70 = 20

The number of adults = 20.

Answer:

There are 90 girls, 125 boys, and 20 adults.

Step-by-step explanation:

Let x be the number of girls. How many boys were there?

x + 35

How many adults were there?

x - 70

We know that 235 people are at RSM summer camp. Use this to make an equation.

x + (x + 35) + (x - 70) = 235

x + x + 35 + x - 70 = 235

3x - 35 = 235

3x - 35 + 35 = 235 + 35

3x = 270

3x ÷ 3 = 270 ÷ 3

x = 90

x, x + 35, x - 70

90, 125, 20

Solve for x
-2x + 7 = 25

Answers

Answer:

-9

Step-by-step explanation:

Step 1:

-2x + 7 = 25

Step 2:

-2x = 18

Step 3:

-18 = 2x

Answer:

-9

Hope This Helps :)

Answer: -9

Step-by-step explanation: hope this helped ❤️

The school needs to buy new computers for four classrooms. If the school needs 20 new computers in each classroom, how many computers does it need to buy in total? Explain

Answers

Answer:

80 computers

Step-by-step explanation:

For 1 class=20 computers

For 4 classes=20x4=80 computers

Other Questions
Write each number in standard notation.0.9x 10-1 Which business filing process puts documents or data in the order by date? a. Linearb. Reverse chronologicalc. Nonlineard. Chronological J. J. Thomson concluded what from his experiment PLS IF SOMEONE KNOW THE ANSWER OR HAVE A IDEA PLS HELP ME I BEG U How has current society inherited similar interests in theater? Design a method to separate a mixture ofsugar, sand, and bits of iron. discuss with your friends about two games that should be encouraged in your school write .0045 into a scientific notation 26 = 8 + v 2) 3 + p = 8 a tree was 17 feet tall when it was planted . it grew 8 times that height in 15 years how much taller is the tree then when it was planted (-9a? +12a - 10)+(9a? +10)I need help with this test write a poem about teachers in English please I will give you many points please help meeeee!!!!!!! complete the equation below. 5x+5x=10x____ How does the height of the cliff impact the acceleration (velocity/time) of a cliff diver? ANSWER THIS QUICK!! ITS WORTH 46 POINTS A farmer feeds her four horses 64 bales of hay each week. How many bales of hay would the farmer need in order to feed six horses for a week? What is the most important insight Momaday gains during his pilgrimage from Yellowstone to his grandmother gave at the Rainy Mountain? Include one quote. A= 5,000 (1+.002*10) What did events like the Walking Purchase prove about treaties between Europeans and Native Americans? They would last longer than most treaties. They were more effective than treaties in Europe. They mostly served European interests. They had the power to prevent or put off war. Brainliest for correct answer simplify the fraction 56/100