Question

Find the inverse f(x)=6x+7

Answer 1

`f^(-1)` (x) =
`(x-7)/(6)`

Explanation:

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

y = 6x + 7 ( subtract 7 from both sides )

y - 7 = 6x ( divide both sides by 6 )

`(y-7)/(6)` = x

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

`f^(-1)` (x) =
`(x-7)/(6)`