How do you find the asymptotes for #g(x) = (3x^2) / (x^2 - 9)#?
For the horizontal asymptote, compute the limit of this function as
So, the horizontal asymptotes are
As for the vertical asymptotes, we need to cosider the points which are not in the domain of the function. These points are the ones that annihilate the denominator, in this case
This means that