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: 14

Answer

All real numbers apart from $4$ and $9$.

Work Step by Step

We know that for rational expressions the domain is all the real numbers, excluding when the denominator is $0$. $x^2-13x+36=x^2-4x-9x+36=x(x-4)-9(x-4)=(x-4)(x-9)$ Here the denominator is $0$, when $x=4$ or $x=9$, thus the domain is all real numbers apart from $4$ and $9$.
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