Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.4 The Algebra of Functions - 7.4 Exercise Set - Page 476: 41

Answer

$$\frac{2x^2+6x+1}{\left(x+2\right)\left(x-3\right)\left(x+3\right)}$$

Work Step by Step

We know the following: $$ (f+g)(x)=f(x)+g(x)$$ Thus, we find: $$\frac{x-1}{x^2-x-6}+\frac{x+2}{x^2-9}\\ \frac{2x^2+6x+1}{\left(x+2\right)\left(x-3\right)\left(x+3\right)}$$
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