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PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE

PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE-example-1
User Inneb
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1 Answer

4 votes

Explanation:

A: f(x)=8x-2

1. Switch the f(x) to y

y=8x-2

2. Switch y to x and x to y

x=8y-2

3. Solve for y:

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

1. Add 2 to both sides.

x=8y-2

+2 +2

2. Divide both sides by 8.

x+2=8y

--- ---

8 8

1/8x+1/4=y

3. Write in f-inverse form

f^-1(x)=1/8x+1/4

B: g(x)=2/3x+6

1. Switch the g(x) to y

y=2/3x+6

2. Switch y to x and x to y

x=2/3y+6

3. Solve for y:

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

1. Subtract 6 from both sides.

x=2/3y+6

-6 -6

2. Multiply both sides by 3/2 (to cancel out the 2/3)

x-6=2/3y

2/3x-4=y

3. Write in f-inverse form

g^1(x)=2/3x-4

C: h(x)-4x-12

1. Switch the h(x) to y

y=-4x-12

2. Switch y to x and x to y

x=-4y-12

3. Solve for y:

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

1. Add 12 to both sides.

x=-4y-12

+12 +12

2. Divide both sides by -4

x+12=-4y

------ ---

-4 -4

-1/4x-3=y

3. Write in h-inverse form

h^2(x)=-1/4/x-3

User Nick White
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