Question: For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the

For the following exercise, find a domain on which the function f is one-to-one and non-decreasing. Write the domain in interval notation. Then find the inverse of f restricted to that domain.

Given f(x) = x3 − 5 and g(x) = 3√x + 5 : 

a. Find f(g(x)) and g(f(x)). 

b. What does the answer tell us about the relationship between f(x) and g(x)?

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