Question

This is the last question from my hw

Answer 1

m = 9, n = 2

Explanation:

Find
`f^(-1)` (x) by letting y = f(x) and rearranging making x the subject, that is

y = mx + n ( subtract n from both sides )

y - n = mx ( divide both sides by m )

`(y-n)/(m)` = x

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

`f^(-1)` (x) =
`(x-n)/(m)`

Given
`f^(-1)` (x) = g(x) , then

`(x-n)/(m)` =
`(x-2)/(9)`

By comparison of the 2 sides

m = 9 and n = 2