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: 7

Answer

The domain is all real numbers except $x\ne\frac{1}{3}$.

Work Step by Step

Any restriction on the domain occurs when any value of $x$ results in an undefined fraction. To determine what value of $x$ will result in a $0$ (creating an undefined fraction), place the expression in the denominator equal to zero: $3x-1=0$ and solve. $3x=1$ $x=\frac{1}{3}$ Thus, $x\ne\frac{1}{3}$ is the restriction for the domain.
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