Show your work to prove that the inverse of f(x) is g(x). f(x) = (x+9)/(4)\\g(x)=4x-9

Question

Show your work to prove that the inverse of f(x) is g(x).


`f(x) = (x+9)/(4)\\g(x)=4x-9`

Answer 1

The answer is attached in the photo

Answer 2

Below.

Explanation:

If g(x) is the inverse of g(x) then g(f(x)) = x.

g(f(x)) = 4 (x + 9)/ 4 - 9

= x + 9 - 9

= x.

So it is the inverse.

Also if you find f((g(x)) it is also = to x.