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Find the equations of the asymptotes for the following function: $$\frac{x^2 + 8}{x^2 - 9}$$

My solution is the asymptotes are first to find the vertical asymptotes. To do this, I have to find the value that make expression undefined. As a result, the vertical asymptotes are $x = -3$ and $x = 3$. To find the horizontal asymptotes, I have the compare the degrees of the numerator and the denominator, which result in $y = 1$

My question is, how do I find the equations for the vertical and horizontal asymptotes? Thank you.

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    $\begingroup$ ... you already did. $\endgroup$
    – user296602
    Commented Jun 20, 2016 at 0:46
  • $\begingroup$ The equations are the ones you stated $\endgroup$
    – user52136
    Commented Jun 20, 2016 at 19:09

1 Answer 1

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An equation is a statement with an equal sign in it, so $x=-3$, $x=3$, and $y=1$ are all equations. Thus, you have already found the equations of the asymptotes. Good job!

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