Question

Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

Answer 1

`f^(-1)` (x) =
`(x-5)/(3)`

Explanation:

let y = f(x) then rearrange making x the subject , that is

y = 3x + 5 ( subtract 5 from both sides )

y - 5 = 3x ( divide both sides by 3 )

`(y-5)/(3)` = x

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

`f^(-1)` (x) =
`(x-5)/(3)`