Calculus with Applications (10th Edition)

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: 9

Answer

$f(g(x))= \dfrac{1}{x^2}$ $g(f(x))= \dfrac{1}{x^2}$

Work Step by Step

Substitute g(x) in f(x): $f(g(x))= \dfrac{1}{x^2}$ Substitute f(x) in g(x): $g(f(x))= \left(\dfrac{1}{x}\right)^2=\dfrac{1}{x^2}$
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