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: 60


a. $-5x^2+20x-7$ b. $-25x^2+40x-13$ c. $13$ d. $-33$

Work Step by Step

Given $f(x)=5x-2$ and $g(x)=-x^2+4x-1$, we have: a. $(f\circ g)(x)=5(-x^2+4x-1)-2=-5x^2+20x-7$ b. $(g\circ f)(x)=-(5x-2)^2+4(5x-2)-1=-25x^2+20x-4+20x-8-1=-25x^2+40x-13$ c. $(f\circ g)(2)=-5(2)^2+20(2)-7=13$ d. $(g\circ f)(2)=-25(2)^2+40(2)-13=-33$
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