Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.1 - Rational Functions and Multiplying and Dividing Rational Expressions - Exercise Set - Page 345: 5

Answer

The domain is all real numbers except $x\ne7$.

Work Step by Step

Restrictions on the domain of a function occur when a value of $x$ results in a $0$ in the denominator. When $x=7$ is plugged into the function: $f(x)=\frac{21}{0}$. This is an undefined fraction. Therefore; $x\ne-7$.
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