Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 7 - Algebraic Fractions - 7.2 - Multiplying and Dividing Algebraic Fractions - Problem Set 7.2 - Page 286: 49


The answer is below.

Work Step by Step

The second fraction is inverted, so both its numerator and its denominator are in the denominator at some point. Thus, the three numbers given, -1, 0, and 1, cannot ever be plugged into the equation because they would make a denominator equal to zero at some point during simplification. However, 2 would never make a denominator equal to zero (since the x-2 is never in the denominator of a fraction), so it is a valid value to insert into the equation.
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