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: 9

Answer

a) -1; b) -1; c) 8; d) 0; e) 8; f) -7

Work Step by Step

a) $(f\circ g)(1)=f(g(1))=f(0)=-1$ b) $(f\circ g)(-1)=f(g(-1))=f(0)=-1$ c) $(g\circ f)(-1)=g(f(-1))=g(-3)=8$ d) $(g\circ f)(0)=g(f(0))=g(-1)=0$ e) $(g\circ g)(-2)=g(g(-2))=g(3)=8$ f) $(f\circ f)(-1)=f(f(-1))=f(-3)=-7$
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