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

For the following exercises, find a domain on which each 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) = x/2 + x and g(x) = 2x/1 − x :

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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