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: 11


(a) $98$ (b) $49$ (c) $4$ (d) $4$

Work Step by Step

a) $(f\circ g)(4)= f(g(4))=f(3\times4^{2}+1)=f(49)=2\times49=98$ b) $(g\circ f)(2)=g(f(2))=g(2\times2)=g(4)=3\times4^{2}+1=49$ c) $(f\circ f)(1)=f(f(1))=f(2\times1)=f(2)=2\times2=4$ d) $(g\circ g)(0)=g(g(0))=g(3\times0^{2}+1)=g(1)=3\times1^{2}+1=4$
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