[tex]\bf \cfrac{x^2+6x-9}{x-2}\qquad
\begin{cases}
x^2\impliedby \textit{has a degree of 2}\\
x^1\impliedby \textit{has a degree of 1}
\end{cases}[/tex]
if the degree of the expression of the numerator is greater than that of the denominator, the rational expression has no horizontal asymptote.