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: 14

Answer

(a) $4418$ (b) $-191$ (c) $8$ (d) $-2$

Work Step by Step

(a) $(f\circ g)(4)= f(g(4))=f(1-3\times4^{2})=f(-47)=2\times(-47)^{2}=4418$ (b) $(g\circ f)(2)=g(f(2))=g(2\times2^{2})=g(8)=1-3\times8^{2}=-191$ (c) $(f\circ f)(1)=f(f(1))=f(2\times1^{2})=f(2)=2\times2^{2}=8$ (d) $(g\circ g)(0)=g(g(0))=g(1-3\times0^{2})$$=g(1)=1-3\times1^{2}=-2$
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