# How do you find the asymptotes for f(x) = (x+3)/(x-3)?

The vertical asymptote is when the denominator goes toward $0$
This is when $x \to 3$, so the vertical asymptote is $x = 3$
The horizontal asymptote is when $x$ becomes very large, either positive or negative. The $+ 3$ and the $- 3$ make less and less of a difference, so the value goes to $x / x = 1$
So the horizontal asymptote is $y = 1$