Chapter 1.3, Problem 63E

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8th Edition

James Stewart

ISBN: 9781305270343

Textbook Problem

(a) If *g*(*x*) = *2x* + 1 and *h*(*x*) = 4*x*^{2} + 4*x* + 7, find a function *f* such that *f ◦ g = h.* (Think about what operations you would have to perform on the formula for

(b) If *f*(*x*) = 3*x* + *5* and *h*(*x*) = 3*x*^{2} + 3*x* + 2, find a function *g* such that *f* ◦ *g* = *h*.

(a)

To determine

**To find:** The function

Explanation

The given functions are

The composite function

Substitute the expression for

Thus,

(b)

To determine

**To find:** The function

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