Question 134841
{{{f(x)=(x-9)/(x^2-4)}}}


Vertical asymptotes are vertical lines with the equation {{{x=a}}} where the value of a would make the denominator of the function go to zero.


For this function, {{{x^2-4}}} factors to {{{(x+4)(x-4)}}}, meaning that either 4 or -4 would make the denominator 0.  That means that the vertical asymptotes are {{{x=4}}} and {{{x=-4}}}