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 1 - Functions and Their Graphs - Chapter Test - Page 116: 9

Answer

(a) $ 2x^2-3x+3$. (b) $ 6x^3-4x^2+3x-2$. (c) $ 4xh+2h^2$.

Work Step by Step

(a) $f-g=(2x^2+1)-(3x-2)=2x^2-3x+3$. (b) $f\cdot g=(2x^2+1)(3x-2)=6x^3-4x^2+3x-2$. (c) $f(x+h)-f(x)=2(x+h)^2+1-(2x^2+1)=4xh+2h^2$.
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