Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 258: 59


a. $-2x^2-x-1$ b. $2x^2-17x+41$ c. $-11$ d. $15$

Work Step by Step

Given $f(x)=4-x$ and $g(x)=2x^2+x+5$, we have: a. $(f\circ g)(x)=4-(2x^2+x+5)=-2x^2-x-1$ b. $(g\circ f)(x)=2(4-x)^2+(4-x)+5=32-16x+2x^2+9-x=2x^2-17x+41$ c. $(f\circ g)(2)=-2(2)^2-(2)-1=-11$ d. $(g\circ f)(2)=2(2)^2-17(2)+41=15$
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