20 points!!! Will mark brainlist to whoever gives me the correct answers with the work:)

Use the information below for Part A, Part B, and Part C.

f(x) = 1/2x -7

g(x) = 2x + 14

Part A: Find (fog)(x). Show your work.

Part B: Find (gºf)(x). Show your work.

Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.

Answers

Answer 1

Answer:

(1/2(2x+14)-7) = 1x+7-7= x g(f(x))= 2(1/2x-7)+14= x-14+14= xWe have the result being two variables of linearity hence they are not inverses. In order to be inverses they should have had switched notations, ie: -x vs x

Answer 2

9514 1404 393

Answer:

  A:  (f∘g)(x) = x

  B:  (g∘f)(x) = x

  C:  the functions are inverses

Step-by-step explanation:

A: (f∘g)(x) = f(g(x)) = f(2x +14)

  = 1/2(2x +14) -7 = x +7 -7 = x

  (f∘g)(x) = x

__

B: (g∘f)(x) = g(f(x)) = g(1/2x -7)

  = 2(1/2x -7) +14 = x -14 +14 = x

  (g∘f)(x) = x

__

C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.


Related Questions

x+3>70
Please helpp plzzzzzz

Answers

Answer:

x>67

So basically what you do is subtract 3 from each side :)

Tariq gets an electricity bill.
The cost of the electricity used before the
VAT is added is £493.80.
VAT is charged at 5% on domestic fuel bills.
What is the cost of the electricity bill,
including VAT?

Answers

493.80*1.05=518.49
Hope it helps

Laura's spent $5.00 of the $20.00 in her wallet. Write a decimal and percent that represents the fraction of the $20.00 Laurel spent.

Answers

Answer:

1/4 or 0.25 or 25%

Step-by-step explanation:

Answer:

0.25, or 25%

Step-by-step explanation:

1/4=0.25, and that equals 25% also 4*5=20, so 5 is 1/4 of 20.

hopes this helps

What kind of transformation is described by the rule (x, y) → (0.5x, y)?

A. Vertical compression
B. Vertical stretch
C. Horizontal compression
D. Horizontal stretch

Answers

Letter c horizontal compression, i’m doing that in schl rn:)

Shelly and Steve buy prepaid phone
cards so they can call home from
summer camp. Shelly buys 150 minutes
for $30. Steve buys 200 minutes for
$42. Who is the person getting the
better deal?

Answers

Answer:

Steve

Step-by-step explanation:

steve is buying 200 minutes which is more than 150 minutes

Hope i helped :) :) :)

26) 360 can be written as 2ax b c xd where
a, b, c and d are all prime numbers. Fud
the value of a, b, c and d.

Answers

Answer:

a: either 3 or 5

b: 1 or 2

c: 2 or 1

d: 5 or 3

Step-by-step explanation:

a=3, bc = 12, d = 5

2*3*12*5 = 360

I think this is one solution

Helpppppp mehhhhh (^0^)

Answers

1. Ten
2. Hundred
Hope this helps

find the product

(-7t+4)^2​

Answers

Answer:

(-7t+4)(-7t+4)=49t^2-56t+16

Step-by-step explanation:

Answer:49t^2 − 56t + 16~To find the product, you have to expand the expression, to get:

49t^2 − 56t + 16

Or

[tex]49t^{2} - 56t + 16[/tex]~

Hope you have a good day, Loves!

Also if I'm right can you let me know please?

Also Also if I am right can I please have Brainliest??

help!! i don’t understand geometry

Answers

I basically solved for x first.
42+43x+1=180
X=3.2 rounded

Next plug in the value of x into the EDC equation
43(3.2)+1=138.6

Then add it to the measure of EDN
138.6+42= 180.6

So the answer is measure of NDC= 138.6

SOMEONE PLEASE HELP!!

Answers

Answer:

48

Step-by-step explanation:

You were right. Just multiply it!

The answer was right, 1/48

What is the product (x-3)(x+8), expressed as a trinomial?

A. x^2+8x-24
B.x^2-3x-24
C.x^2+5x-24
D.x^2-11x-24

Help -

Answers

It’s c x^2+5x-24 just multiply each of the terms from the second parentheses.

Which of the following is an equation with ONE solution?

A
2x = 2x + 18

B
2x - 10 = 2(x - 5)

C
5(x + 3) + x

D
2x + 5= 11 - 4x

Answers

D is the answer. I hope this helps!

One year, the population of a city was 132,000. Several years later it was 149,160.

Find the percent increase.

Answers

Answer: 13%

Step-by-step explanation:

To find the percent increase, first find the increase in figures:

= 149,160 - 132,000

= 17,160 people

Then find the percent increase in this manner:

= Increase / Previous population * 100%

= 17,160 / 132,000  * 100%

= 13%

Apply the distributive property to create an equivalent expression. 5 × ( − 2 w − 4 )

Answers

Answer:

5(-2w)-(5x4)

Step-by-step explanation:

Answer:

5(-2w)-(5x4)

Step-by-step explanation:                                                                                  Hope this helps Can I be the Branliest?

yesterday the temperature was 7 degrees fahrenheit . Today the temperature is 0 degrees fahrenheit . What was the change in the temperature from yesterday to today?

Answers

Answer:

-7

Step-by-step explanation:

HOPE THIS HELPS

ethan earned 5% of the maximum number of points possible . It ethan earned 40 points , what is the maximum number of points possible ?

Answers

Answer:

3840

Step-by-step explanation:

-5.8c +4.2 - 3.1 + 1.4c​

Answers

Answer:

1.1 - 4.4c

Step-by-step explanation:

(-5.8c +1.4c​)+ (+4.2 - 3.1)

it's a ven dyagram question pls help

Answers

Answer:

a) A U B = {21,23,24,25,27,29,30,31 }

b) A n C = {24,30}

Step-by-step explanation:

A {21,24,27,30}

B {21,23,25,27,29,31}

C {20,22,24,26,28,30,32}

a) A U B = {21,23,24,25,27,29,30,31 }

b) A n C = {24,30}

round 14.561 to two decimal places

Answers

Answer:

round 14.561 to two decimal places=15

Can you help me thank you

Answers

I thinks it’s B I think I’m wrong

Answer:

What you have is correct :)

Step-by-step explanation:

What’s 2/10 closest to 0,1/2 or 1

Answers

Answer:

0

Step-by-step explanation:

2/10 is 2/10 away from 0, 2/10 is 3/10 away from 1/2, and 2/10 is 8/10 away from 1

0 is the answer because 5/10=1/2 and 10/10=1

Help please!!! Find the measure of A in the picture below.

Answers

Answer:

Step-by-step explanation:

If you draw in BD, you can show that triangle BCD = triangle BAD by SSS

That means that <A = <C  parts of congruent parts are congruent.

<A + <C + 115 + 71 = 360

<A + <C + 186 = 360            All convex quadrilaterals have  4 interior angles that add to  360 degrees

<A + <C = 360 - 186

<A + <C = 174

So call <A  and < C = x

x + x = 174

2x = 174

x = 174 / 2

x = 87

<A = 87

whats the solution to 2/3x^2+24

Answers

Answer:

you cant solve for x if it doesnt equal to something.

Step-by-step explanation:

please add these to numbers together 474.766 + 100.725=

Answers

Answer:

575.491

Step-by-step explanation:

Add 474.766 and 100.725. This is your answer.

Answer:

575.491

Step-by-step explanation:

      1   1

 474.766

+100.725

----------------

 575.491

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

(I spent a lot of time on this, I hope it actually helps! :) )

Correct me if I'm wrong

Edward constructs several similar rectangles using pieces of balm wood. The similar rectangles are based on a rectangle with a length of 3 feet and a width of 5 feet. Which of the following dimensions would NOT be proportional to any of the new rectangles Edward could build?
F. 6 ft by 10 ft
G. 1 ft by 1 2/3ft
H. 18 ft by 30 ft
J . 1 1/5 ft by 2 1/2 ft​

Answers

J, all the other answer are constant to 5 and 3. 5 and 3 do not have multiples to both equal J.

Which video game do you guys(and girls) like more?
*Halo (series)
*Call of duty WW2
*Call of duty Cold war
*Assassin's Creed(series)
*Pokemon (series)
*fortnite
*Titanfall (series)

Answers

Answer:

ALL OOF THEM

Step-by-step explanation:

Answer:

I like pokemon the best out of these choices. I am a logical thinker and love to think about the math involved (doing calcs) nuzlockes are such a fun challenge

Please solve this smart pole

Answers

Answer:

What’s the question?

Step-by-step explanation:

Which choice is equivalent to the quotient below?
40/8

Answers

Answer:

A.

Step-by-step explanation:

You simplify the square root until you narrow it down to the square root of 5.

The quotient of expression of √40/√8 is √5 which is correct option (A).

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given expression as :

⇒ √40/√8

Factor of √40 = √8×√5

⇒ (√8√5)/√8

Cancel out of√8

⇒ √5

Hence, the quotient of expression of √40/√8 is √5.

Learn more about expression here:

brainly.com/question/13947055

#SPJ2

14. Paris and Mia are saving money for their senior trip. Paris has $35 saved already and will save $20 per week. Mia has $85 saved already and will save $10 per week. When will they have saved the same amount?​

Answers

Answer:12

Step-by-step explanation:

You have inherited land that was purchased for $30,000 in 1960. The value of the land increased by approximately 5% per year. What is the approximate value of the land in the year 2015?

Answers

Answer:

$112,500

Step-by-step explanation:

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