Question

If f(x)=3x+6 what is the inverse of f(x)

Answer 1

`f^(-1) (x)=(1)/(3)x-2`

Explanation:

Replace f(x) with y

y=3x+6

Swap x and y

x=3y+6

Solve for y

3y=x-6

y=1/3x-2

Answer 2

The inverse is 1/3x-2

Explanation:

y = 3x+6

Exchange x and y

x = 3y+6

Solve for y

Subtract 6 from each side

x-6 = 3y+6-6

x-6 = 3y

Divide by 3

x/3 -6/3

1/3x -2 = y

The inverse is 1/3x-2