Verify the functions f and g are inverses of each other

Question

by showing f(g(x)) =x and g(f(x)) = x .Give any values of x that need to excluded from the domain of f and the domain of g.

f(x) = 3x + 4

g(x) =(1/3)(x - 4 )

Answer 1

Step 1 :

The functions are and .

Thus, .

Thus, .

and , hence f and g are inverse functions.

There is no value(s) of x to be excluded, because both the functions are continuous for all real numbers.

Solution :

and .

Values of x  to be excluded : None.