College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 298: 88



Work Step by Step

The domain goes from the lowest $x$-value to the highest $x$-value of each function. The domain of $\frac{f}{g}$ is the intersection of both functions minus the points where $g(x)=0$. $g(x)=0$ when $x=-4$ and $x=3$, so the open interval $(-4,3)$ is the domain. $f:[-4,3]$ $g:[-5,5]$
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