Inverse function in exercise, analytically show that the functions are inverse functions. then use the graphing utility to show this graphically.
f(x) = e^x/3
g(x) = inx^3

Step-by-step explanation:

We have been given two functions as and . We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of as:

Interchange x and y values:

Using log property , we will get:

Using log definition; If , then , we will get:

Therefore, we can see that function is inverse of function .

We can see that both functions are symmetric about line , therefore, both functions are inverse of each other.