Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.3 - Polynomial Functions, Graphs, and Composition - 4.3 Exercises - Page 295: 19

Answer

a. $8x-3$, b. $2x-17$

Work Step by Step

We are given that $f(x)=5x-10$ and $g(x)=3x+7$. We know that $(f+g)(x)=f(x)+g(x)$ and $(f-g)(x)=f(x)-g(x)$. Therefore: $(f+g)(x)=(5x-10)+(3x+7)=5x+3x-10+7=8x-3$. $(f-g)(x)=(5x-10)-(3x+7)=5x-3x-10-7=2x-17$
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