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: 20

Answer

a. $2x+3$, b. $-10x-1$

Work Step by Step

We are given that $f(x)=-4x+1$ and $g(x)=6x+2$. We know that $(f+g)(x)=f(x)+g(x)$ and $(f-g)(x)=f(x)-g(x)$. Therefore: $(f+g)(x)=(-4x+1)+(6x+2)=-4x+6x+1+2=2x+3$. $(f-g)(x)= (-4x+1)-(6x+2)=-4x-6x+1-2=-10x-1$
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