Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 413: 13


All real numbers apart from $5$ and $3$.

Work Step by Step

We know that for rational expressions the domain is all the real numbers, excluding when the denominator is $0$. $x^2-8x+15=x^2-3x-5x+15=x(x-3)-5(x-3)=(x-3)(x-5)$ Here the denominator is $0$, when $x=5$ or $x=3$, thus the domain is all real numbers apart from $5$ and $3$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.