Thanks Shyam! One more question though, how would this intersect with $\displaystyle g(x) = \frac{1}{(x-7)(x+2)}$?
For, $\displaystyle g(x) = \frac{1}{(x-7)(x+2)}$, the vertical asymptote are at x= 7 and x = -2 and horizontal asymptote y = 0 (x-axis is horizontal asymptote)