Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 8 - Rational Functions - 8-1 Inverse Variation - Practice and Problem-Solving Exercises - Page 505: 41

Answer

The $x$ is in the denominator of the equation of the inverse variation, which is $=\frac{k}{x}$. Thus, the value of $x$ cannot be zero as it makes the denominator zero, which is not allowed.

Work Step by Step

Recall: An inverse variation is represented by the equation $y=\frac{k}{x}$, where $k$ is the constant of variation. Since the $x$ is in the denominator of the equation, then the value of $x$ cannot be zero as it makes the denominator zero, which is not allowed.
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