Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.6 - Rational Expressions - Exercise Set - Page 87: 109


Does not make sense

Work Step by Step

Let us consider the expression $\frac{3x-3}{4x\left( x-1 \right)}$. Now, evaluate the value of the denominator of the given expression for $x=1$. $\begin{align} & 4x\left( x-1 \right)=4\times 1\left( 1-1 \right) \\ & =4\times \left( 0 \right) \\ & =0 \end{align}$ Here the denominator of the fraction is equal to zero. Hence, the expression is not defined for $x=1$. Thus, the given statement does not make sense.
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