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: 9

Answer

The domain is all real numbers except $x\ne0$, $x\ne-2$, and $x\ne1$.

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. $x^{3}+x^{2}-2x=0$ $(x)(x+2)(x-1)=0$ Factor and solve $x=0$, $x=-2$, and $x=1$ Thus, the domain is all real numbers except $x\ne0$, $x\ne-2$, and $x\ne1$.
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