Jaylene Hunter

2022-07-18

Find the equation of the horizontal and vertical asymptotes
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.

eishale2n

Expert

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!

Do you have a similar question?