Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - Cumulative Test Prep - Multiple Choice - Page 709: 5



Work Step by Step

Firstly, we will have to multiply numerator by reciprocal of the denominator, such as: $\dfrac{x-1}{x+3} \div \dfrac{1}{x-4}$ $=(x-4) \times \dfrac{x-1}{x+3}$ $=\dfrac{(x-4)(x-1)}{x+3}$ $=\dfrac{x^2-x-4x+4}{x+3}$ $=\dfrac{x^2-5x+4}{x+3}$ Hence, the correct answer is $D$.
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