Question

This is the last question from my hw

Answer 1

Answer:

m = 9, n = 2

Step-by-step 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 )

$\frac{y-n}{m}$ = x

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

$f^{-1}$ (x) = $\frac{x-n}{m}$

Given $f^{-1}$ (x) = g(x) , then

$\frac{x-n}{m}$ = $\frac{x-2}{9}$

By comparison of the 2 sides

m = 9 and n = 2