Question

Find the inverse, g−1(x), of the following function: g(x) = 4x - 11

Answer 1

`g^(-1)` (x) =
`(x+11)/(4)`

Explanation:

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

y = 4x - 11 ( add 11 to both sides )

y + 11 = 4x ( divide both sides by 4 )

`(y+11)/(4)` = x

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

`g^(-1)`(x) =
`(x+11)/(4)`