Consider the functions f (x) e2x and g(x) x3 1 a Find the inverses of f and g, and use these to find when f (x) 2 and when g(x) 2 b Find f g and g f and evaluate each at x 2 c Find the inverse of g f What is the domain of this function

Question: Consider the functions f (x) = e2x and g(x) = x3 + 1. a. Find the inverses of f and g, and use these to

Consider the functions f (x) = e−2x and g(x) = x3 + 1.
a. Find the inverses of f and g, and use these to find when f (x) = 2 and when g(x) = 2.
b. Find f ο g and g ο f and evaluate each at x = 2.
c. Find the inverse of g ο f. What is the domain of this function?

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