Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding - Page 254: 17


a) $2\sqrt 2$; b) $2\sqrt 2$; c) 1; d) 0.

Work Step by Step

We are given the functions: $f(x)=\sqrt x$ $g(x)=2x$ a) $(f\circ g)(4)=f(g(4))=f\left(2(4)\right)=f(8)=\sqrt 8=2\sqrt 2$ b) $(g\circ f)(2)=g(f(2))=g(\sqrt 2)=2\sqrt 2$ c) $(f\circ f)(1)=f(f(1))=f(\sqrt 1)=f(1)=\sqrt 1=1$ d) $(g\circ g)(0)=g(g(0))=g(2(0))=g(0)=2(0)=0$
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