The graph of

(drawn by Maple with proper respect for units) looks as follows:

We notice that the function has another asymptote: the horizontal line y=0. But before we discuss horizontal asymptotes, let's finish with vertical asymptotes. Our function f(x) has a vertical asymptote at x=2, exactly at a point where the denominator is 0. And that brings us to a 250,000 dollar question...