Question

Now you will use what you have learned to create a general test for determining whether two functions are inverses. If f(x) and g(x) are inverses, what will be the values of f(g(x)) and g(f(x))?

Answer 1

The values of the 2 compound functions will be x.

For example if f(x) = x + 1 and g(x) = x - 1 then

f(g(x)) = (x - 1) + 1 = x

and g(f(x)) = x + 1 - 1 = x