Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises: 64

Answer

$$g(x)=4x-17$$

Work Step by Step

To find $g$ such that $g \circ f=h$, we have$$g(f(x))=h(x) \quad \Rightarrow \quad g(x+4)=4x-1$$ $$\Rightarrow \quad g(x+4)=4(x+4)-17$$ $$\Rightarrow \quad g(x)=4x-17.$$
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