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: 12

Answer

The domain is all real numbers except $x\ne0$, and $x\ne7$.

Work Step by Step

Restrictions in a domain occur when any value of $x$ results in an zero in the denominator. To find this value, set the expression in the denominator equal to zero, and solve. $x^{2}-7x=0$ $(x)(x-7)=0$ Factor and solve $x=0$ and $x=7$ Thus, the domain is all real numbers except $x\ne0$, and $x\ne7$.
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