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: 16


a) 4418; b) -191; c) 8; d) -2.

Work Step by Step

We are given the functions: $f(x)=2x^2$ $g(x)=1-3x^2$ a) $(f\circ g)(4)=f(g(4))=f\left(1-3(4^2)\right)=f(-47)=2(--47)^2=4418$ b) $(g\circ f)(2)=g(f(2))=g(2(2^2))=g(8)=1-3(8^2)=-191$ c) $(f\circ f)(1)=f(f(1))=f(2(1^2))=f(2)=2(2^2)=8$ d) $(g\circ g)(0)=g(g(0))=g(1-3(0^2))=g(1)=1-3(1^2)=-2$
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