inverses question

Question

Determine if the following functions are inverses of each other:

f(x) = 7x + 14

g(x) = (1/7)x - 2

Answer 1

f(x) = 7x + 14

x = 7f^-1(x) + 14

x - 14 = 7f^-1(x)

(x - 14) / 7 = f^-1(x)

Is f^-1(x) = g(x)?