Find the equation of the horizontal and vertical asymptotesFind the equations of the asymptotes for the following function: 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=1My question is, how do I find the equations for the vertical and horizontal asymptotes? Thank you.

Question

Find the equation of the horizontal and vertical asymptotesFind the equations of the asymptotes for the following function:                    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=1My question is, how do I find the equations for the vertical and horizontal asymptotes? Thank you.

eishale2n · Accepted Answer

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!