Question

What is the inverse of f(x)=1/3x+2?

Answer 1

3(x-2)

Explanation:

interchange value of x and y

Answer 2

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

Explanation:

let y = f(x) and rearrange making x the subject

y =
`(1)/(3)` x + 2 ( subtract 2 from both sides )

y - 2 =
`(1)/(3)` x ( multiply both sides by 3 to clear the fraction )

3(y - 2) = x

change y back into terms of x with x =
`f^(-1)` (x) , then

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