Are these two functions inverses of each other?

Question

f(x)=4x+24

g(x)=1/4x+6

Answer 1

These are not inverse functions.

If they were inverse functions then if f(x) = y then g(y) = x

or g(f(x)) = x

In this case g(4x +24) = 1/4(4x + 24) + 6 = x + 6 + 6 = x + 12

x + 12 does not equal x so not inverse functions

Answer 2

f(x) = 4x + 24

x = 4f^-1(x) + 24

x - 24 = 4f^-1(x)

(x / 4) - 6 = f^-1(x)