Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.1 Composite Functions - 4.1 Assess Your Understanding - Page 279: 15

Answer

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

Work Step by Step

(a) $(f\circ g)(4)= f(g(4))=f(2\times4)=f(8)=\sqrt 8=2\sqrt 2$ (b) $(g\circ f)(2)=g(f(2))=g(\sqrt 2)=2\times\sqrt 2=2\sqrt 2$ (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\times0)$$=g(0)=2\times0=0$
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