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: 7


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

Work Step by Step

Use the given table to evaluate each given expression and obtain: (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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