Answer:
Step-by-step explanation:
Given a certain function , and then its inverse function
, the following expression is valid:
where the expression
indicates the composite function.
In this problem, we have:
And then, its inverse function is
To verify that g(x) is the inverse of f(x), the following expression must be true:
Substituting the expression of g(x) into f(x), we find that:
So, g(x) is the inverse of f(x).