Identify the horizontal asymptote of f(x)=x^2+6x-9 over x-2

QUESTION POSTED AT 01/06/2020 - 04:45 PM

Answered by admin AT 01/06/2020 - 04:45 PM

\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}

if the degree of the expression of the numerator is greater than that of the denominator, the rational expression has no horizontal asymptote.
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