Question

What is the inverse of the function below?

f(x) = x/3 -2

O A. f(x) = 3(x + 2)
O B. f(x) = 3(x - 2)
O c. f'(X) = 2(x - 3)
O D. f '(x) = 2(x + 3)

Answer 1

A

Explanation:

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

y =
`(x)/(3)` - 2 ( add 2 to both sides )

y + 2 =
`(x)/(3)` ( 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 inverse function is

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