Question

If f(x) = 4x - 3, what is f(x)^-1

Answer 1

`f^(-1)`(x) =
`(x+3)/(4)`

Explanation:

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

y = 4x - 3 ( add 3 to both sides )

y + 3 = 4x ( divide both sides by 4 )

`(y+3)/(4)` = x

Change y back into terms of x

`f^(-1)`(x) =
`(x+3)/(4)`