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: 12

Answer

(a) $95$ (b) $127$ (c) $17$ (d) $1$

Work Step by Step

a) $(f\circ g)(4)= f(g(4))=f(2\times4^{2}-1)=f(31)=3\times31+2=95$ b) $(g\circ f)(2)=g(f(2))=g(3\times2+2)=$$g(8)=2\times8^{2}-1=127$ c) $(f\circ f)(1)=f(f(1))=f(3\times1+2)=f(5)=3\times5+2=17$ d) $(g\circ g)(0)=g(g(0))=g(2\times0^{2}-1)=g(-1)=2\times(-1)^{2}-1=1$
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