Given the definitions of f(x) and g(x) below, find the value of (gof)(9).
f(x) = -2x + 14
g(x) = 2x2 - 6x – 2

Answers

Answer 1

Answer:

The value of (gof)(9)=54

Step-by-step explanation:

We are given:

[tex]f(x) = -2x + 14\\g(x) = 2x^2 - 6x - 2[/tex]

We need to find (gof)(9).

To find (gof)(9) first we will find g(f(x)) and then put x=9

Finding g(f(x))

By putting value of f(x) into g(x) i.e

[tex]g(f(x))=2(-2x+14)^2-6(-2x+14)-2[/tex]

Now putting x=9

[tex]g(f(9))=2(-2(9)+14)^2-6(-2(9)+14)-2\\g(f(9))=2(-18+14)^2-6(-18+14)-2\\g(f(9))=2(-4)^2-6(-4)-2\\g(f(9))=2(16)+24-2\\g(f(9))=32+24-2\\g(f(9))=54[/tex]

so, the value of (gof)(9)=54


Related Questions

1. Are the following lines parallel, perpendicular, or neither?
y=-c-5 and y = -5
O not enough information is given
Class Notebo...
parallel
O perpendicular
id
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O neither

Answers

Answer:

Not enough info given

Step-by-step explanation:

There isn’t a accurate slope to find if they are parallel or perpendicular

A baby elephant weighs 1400 pounds, which is 7,437 pounds less than her mother. Write an equations to express the weight of the mother.

Answers

1400+7437=8837 this is correct

Answer:

8837 pounds

Step-by-step explanation:

m-7437=1400

mis the weight of the mother (expressed as  a variable)

m-7437=1400

  +7437  +7437

m=8837 pounds

Which of the tables, if any, shows a proportional relationship? Explain how you know

Answers

The first table is proportional! The second table is not!

Answer:

The first table only shows a proportional relationship.

Step-by-step explanation:

208/8=26

156/6=26

234/9=26

Since they have the same rate, the table is proportional.

Jim took 3 hours to drive 150 miles. At that rate, how far would he drive in 8 hours?

Answers

Answer:

400 miles in 8 hours

Step-by-step explanation:

Divide to find the unit rate.

150 / 3 = 50mph

Multiply.

50 * 8 = 400mi

Best of Luck!

Answer:

400 miles

Step-by-step explanation:

3:150=8:x

X=150x8/3

X=400

Find the slope of each graph. Express the answer in simplest form please show graph ​

Answers

Answer:

3/2 -1

Step-by-step explanation:

use rise over run

Answer:

-3/2

Step-by-step explanation:

Tim's mom filled the gas tank in her SUV and spent $72.00 for 22.5 gallons of unleaded gasoline. What is the constant of proportionality that relates the cost in dollars, y, to the number of gallons of unleaded gasoline, x?

Answers

Answer:

3.20 gallons

Step-by-step explanation:

1. What are parallel lines?
2. Write the converse of Theorem 3.8. Is the converse true?
3. Can you prove that lines p and q are parallel? If so, describe how.

Answers

Answer:

lines that never touch and are next to each other are parallel

Step-by-step explanation:

I really need help I've answered mainly all the questions but i need some assistance with these few!!! Please show all work, so I can look how you found your answers THANK YOU SM!!!!
Use the function f(x)= - 4^x-1 - 2 to answer the questions below.
1.) State the equation for the asymptote.
2.)What is the range?
3.)What is the domain?
4.) Finally which axis is f(x) reflected over and what caused the reflection?

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

I assume the function you wrote was [tex]f(x)=-4^{x-1}-2[/tex]

1) The equation for the horizontal asymptote is y=-2 since a function of the form f(x) = a(b^x) + c always has a horizontal asymptote at y = c, so c=-2, therefore the horizontal asymptote equation is y=-2

2) The range is (-∞,-2) since any real value of y that is less than -2 but doesn't equal -2 (since it's not included) will be a solution.

3) The domain is (-∞,∞) since any real value of x will be a solution.

4) The axis that f(x) is reflected over is the x-axis because when you negate a base in an exponential function, that will occur.

Ms. Hudson runs 6 miles in 2.5 hours. How far does she go in 5 hours?​

Answers

Answer:

12 miles

Step-by-step explanation:

2.5 hours= 6 miles

1 hour= 6/2.5 miles

5 hours= 6*5/2.5= 12 miles

the measure of the two sides of a triangle. ​

Answers

Answer:

A.

Step-by-step explanation:

The answer is A because well 3x would not change and 17x would not change but 7 and 5 would change because they are not variable numbers So when u do the mah you would get 3x2+17x -2

You make a banner for football rally 4 2/3 and 1 1/2 what is the area

Answers

The area of the banner is 7

The banner has a rectangular shape

A rectangle is a 2-dimensional shape with 4 sides. Opposite sides have equal dimensions and it has four right angles.  

Area of a rectangle = length x width

4 2/3 x 1 1/2

Convert the mixed fractions to improper fractions

14/3 x 3/2 = 7

Please find attached an image of a rectangle.

To learn more about the area of a rectangle, please check: https://brainly.com/question/15218510?referrer=searchResults

Mr. Lemus washed
2
7
of his laundry. His son washed
1
3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Answer:

his son

Step-by-step explanation:

About 56% of the 2,553 students are enrolled in at least one honors class. How many students are enrolled in an honors class?

Answers

Answer:

1429.68

Step-by-step explanation:

[tex] \frac{56}{100} \times 2553[/tex][tex] \frac{142968}{100} [/tex]= 1429.68

Answer:

1429.68

Step-by-step explanation:

$24 shirt; 6% tax what is the answer please

Answers

The tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.

What is Tax?

A tax is a financial charge imposed on a taxpayer by a governmental organization in order to fund government spending and public expenditures.

Given is the selling price of shirt as $24. The tax rate is 6%.

Selling price of shirt [S.P.] = $24

Tax rate [R%] = 6%

Therefore, the tax amount = T[A] will be -

T[A] = $(S.P x R/100)

T[A] = $(24 x 6/100)

T[A] = $(24 X 0.06)

T[A] = $1.44

Therefore, the tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.

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If m∠4=6y and m∠5=13y-10, find m<6. WILL GIVE YOU Brainliest

Answers

Answer:

[tex] m\angle 1 = 115\degree \\\\

m\angle 2= 130\degree \\\\

m\angle 6= 60\degree \\\\[/tex]

Step-by-step explanation:

[tex] m\angle 1 = m \angle 5\\(corresponding \: \angle s) \\\\

\because m\angle 5 = 115\degree \\

\therefore m\angle 1 = 115\degree \\\\

m\angle 2 = m \angle 7\\(exterior \: alternate \: \angle s) \\\\

\because m\angle 7 = 130\degree \\

\therefore m\angle 2= 130\degree \\\\

m\angle 4 + m\angle 5= 180\degree\\\\

6y\degree + (13y - 10)\degree = 180\degree\\\\

(19y - 10)\degree = 180\degree\\\\

19y - 10 = 180\\\\

19y = 180+ 10\\\\

19y = 190\\\\

y = \frac{190}{19}\\\\

y = 10\\\\

m \angle 4 = 6y\degree \\\\

m \angle 4 = 6\times 10\degree \\\\

m \angle 4 = 60\degree \\\\

\because m\angle 6 = m \angle 4\\( alternate \: \angle s) \\\\

\therefore m\angle 6= 60\degree \\\\[/tex]

what equation is equal to 3.5 ×7​

Answers

7/3.5
multiply and divide by 10
= 7×10/3.5×10
= 70/35
= 14/7
=2
The answer is 2

*UPDATED*

*Will mark brainliest*

Charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he receives a total amount of $9,340 after 3 years, find the rate of simple interest.

*SHOW WORK AS SIMPLE AS POSSIBLE*

Answers

Answer:

9%

Step-by-step explanation:

12000:

5000 for 1 year

7000 for 3 years

Total interest earned:

9340 - 7000 = 2340

Let x be the irate of simple interst

(5000 x) + (7000(3x)) = 2340

26000x = 2340

x = 0.09

0.09 × 100 = 9%

Choose a letter from CHAMPS and describe how you will help to support that letter in the class.

-Conversation

-Help

-Activity

-Movement

-Participation

-Success HELP ME WHICH ONE SHOULD I PUT

Answers

Answer:

do participation

Step-by-step explanation:

just talk about how you will always make sure to participate in class and you will help stimulate conversation that is on topic with the rest of your classmates.

Right triangle QRS is pictured below.

Answers

Step-by-step explanation:

Step 1:  List out all of the formulas for the trigonometric functions

sin(x) = opposite/hypotenuse

cos(x) = adjacent/hypotenuse

tan(x) = opposite/adjacent

Step 2:  Find the value of RS

cos(31) = RS/24.8 NOT 24.8/RS

sin(31) = QS/24.8 NOT RS/24.8

sin(31) = QS/24.8 NOT 24.8/RS

cos(31) = RS/24.8 WHICH IS SAME AS RS/24.8

Answer: The correct length would be given from Option D, cos(31) = RS/24.8

Answer:the  answer  is  a

Step-by-step explanation:

(3 * 2)2/6 - 5 + (4 - 1)2?

Answers

Answer: The answer is 3.

Answer:

3

Step By step:

Last week the price of gas was $1.50. This week the price of gas is $1.70. What is the
percent increase?

Answers

About 13%,

0.20 is the additional price added,

0.20/1.5, however it could also be 11% depending on which rate you start from.

graph it pls need help for a friend​

Answers

Answer:

It would be a straight line through the points (0, -2) and (-0.667, 0)

Step-by-step explanation:

Answer: if you can't see it well, the points are (0,-2) and (1,-5). I'm pretty sure it's the one on your screen though

Step-by-step explanation:

Part B. Hector said there will be 55 gallon of water in the pool after 11 minutes. Explain how Hector could have found his answer.

Answers

Is he measured how much gallons was in the pool in the first minute he can times that amount by 11 minutes and ended up with 55 gallons

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I don’t know and I Need to get it correct.

Answers

Answer:-52.056

Step-by-step explanation:

Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?​

Answers

Answer:

10 inches long.

Step-by-step explanation:

Answer:

10 inches

Step-by-step explanation:

I did 2.5*4 and got 10

Simplify. 3√-50 Enter your answer, in simplest radical form, in the box.

they are looking for an imaginary number. will give brainliest. 30 POINTS GIVEN

Answers

An imaginary number is a number that, when squared, has a negative result. The imaginary number is given by √-1. It is denoted by i.

The simplest radical form of 3√-50 is 3√50i.

What is an imaginary number?

An imaginary number is a number that, when squared, has a negative result. The imaginary number is given by √-1. It is denoted by i.

We have,

3√-50

We can separate √-50 = √-1 x √50

We can write as:

= 3 x √-1 x √50

= 3√50 i

This is the simplest radical form of 3√-50.

Thus the simplest radical form of 3√-50 is 3√50i.

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

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What is the formula for the volume of a cube?

Answers

Answer:

V = a cubed

Step-by-step explanation:

Hope this helps

(79,35+7,32) × 42,2-9543​

Answers

Answer:

42(79,42,32)

Step-by-step explanation:

I got the solution by using  the  Trigonometric Identities. If somebody else could do a step by step explanation that would be great.  

The ratio of x to y is 1:4.

Fill in the missing boxes with numbers to form a table with the given ratio.

Answers

Answer:

1:4

2:8

3:12

4:16

5:20

6:24

7:28

8:32

9:36

10:40

Step-by-step explanation:

In the restaurant, the bill was $80. If you want to give a
15% for the waiters, how much did you pay?

Answers

Answer:

You paid $92

Step-by-step explanation:  

you convert 15% to a decimal which wold be .15 then you multiply 80 by .15  and get 12 then you add 12 to the 80 and get 92 so the bill would be $92

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