Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 2 - Review - True-False Quiz: 4


The statement is false.

Work Step by Step

$$\frac{x^2-9}{x-3}=x+3$$ The right side of the equation $x+3$ is satisfied for $\forall x\in R$, so it is also satisfied for $x=3$. The left side of the equation $\frac{x^2-9}{x-3}$, however, is not satisfied for $x=3$. Since the left side and right side of the equation are not satisfied for the same set of numbers, they are false. In other words, the statement is false.
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