Identify the horizontal asymptote of f(x)= 7x+1 over 2x-9

QUESTION POSTED AT 01/06/2020 - 04:46 PM

Answered by admin AT 01/06/2020 - 04:46 PM

\bf \cfrac{7x+1}{2x-9}\qquad 
\begin{cases}
7x^1\impliedby \textit{has a degree of 1}\\
2x^1\impliedby \textit{also had degree of 1}
\end{cases}
\\\\\\
\textit{horizontal asymptote occurs at }y = \cfrac{7}{2}

if the degree of the numerator is the same degree as that of the denominator, then the horizontal asymptote is the rational from the leading term's coefficient.
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