Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.2 - Combining Functions; Shifting and Scaling Graphs - Exercises 1.2 - Page 19: 11


(a) $f(g(x))$ (b) $j(g(x))$ (c) $g(g(x))$ (d) $j(j(x))$ (e) $g(h(f(x)))$ (f) $h(j(f(x)))$

Work Step by Step

(a) $y=\sqrt x-3=f(g(x))$ (b) $y=2\sqrt x=j(g(x))$ (c) $y=x^{1/4}=g(g(x))$ (d) $y=4x=j(j(x))$ (e) $y=\sqrt {(x-3)^3}=g(h(f(x)))$ (f) $y=(2x-6)^3=h(j(f(x)))$
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