Calculus with Applications (10th Edition)

by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.

Published by Pearson

ISBN 10: 0321749006

ISBN 13: 978-0-32174-900-0

Chapter 4 - Calculating the Derivative - 4.3 The Chain Rule - 4.3 Exercises - Page 225: 7

Answer

$f(g(x))= \dfrac{3}{4}x-\dfrac{55}{8}$ $g(f(x))=\dfrac{3}{4}x+41$

Work Step by Step

Substitute g(x) in f(x): $f(g(x))= \dfrac{6x-1}{8}+7=\dfrac{3}{4}x-\dfrac{55}{8}$ Substitute f(x) in g(x): $g(f(x))= 6(\dfrac{x}{8}+7)-1=\dfrac{3}{4}x+41$

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