Inverse of composite functions a. Let g1x2 = 2x + 3 and

Chapter 1, Problem 88

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Inverse of composite functions a. Let g1x2 = 2x + 3 and h1x2 = x3. Consider the composite function f 1x2 = g1h1x22. Find f -1 directly and then express it in terms of g-1 and h-1. b. Let g1x2 = x2 + 1 and h1x2 = 1x. Consider the composite function f 1x2 = g1h1x22. Find f -1 directly and then express it in terms of g-1 and h-1. c. Explain why if g and h are one-to-one, the inverse of f 1x2 = g1h1x22 exists.

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