Question

Given f(x) = 2x-8, find the Inverse f-f(x)​

Answer 1

`f^(-1)`(x) =
`(x+8)/(2)`

Explanation:

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

y = 2x - 8 ( add 8 to both sides )

y + 8 = 2x ( divide both sides by 2 )

`(y+8)/(2)` = x

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

`f^(-1)`(x) =
`(x+8)/(2)`