Where is the following function continuous? Be explicit and precise .Show the algeberic steps....

Question:

Where is the following function continuous? Be explicit and precise .Show the algeberic steps.

{eq}f(x)=\frac{x}{x^2-1} {/eq}

Rational Functions:

Rational functions are functions that can be written as the ratio of two polynomial functions. The polynomial in the denominator cannot be equal to zero. Rational functions are continuous for all values of {eq}x {/eq} except for those values for which the denominator is zero.

Answer and Explanation:

Rational functions are continuous for all values of {eq}x {/eq} except for those values for which the denominator is zero.

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Rational Function: Definition, Equation & Examples

from GMAT Prep: Help and Review

Chapter 10 / Lesson 11
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