Analytically determine the location(s)of any vertical asymptote(s).

Name: Analytically determine the location(s)of any vertical asymptote(s).
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Question

Analytically determine the location(s)of any vertical asymptote(s). ​
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Quizplus · Accepted Answer

Vertical asymptotes occur when the denominator of a rational function equals zero. In this case, the denominator of the given function is (x^2-9)(x+3), which equals zero when x=±3 or x=-3. Therefore, there are vertical asymptotes at x=3 and x=-3. The correct choice is C, which lists both of these values.

Analytically Determine the Location(s)of Any Vertical Asymptote(s). ​

Analytically Determine the Location(s)of Any Vertical Asymptote(s).