# Horizontal, Vertical, & Oblique Asymptote?

So my precal assignment is asking me to find the vertical, horizontal, and oblique asymptotes.

I got to the following problem.

$\displaystyle R(X) = \frac{3x+5}{x-6}$

Would the horizontal asymptote be $y=3$ & vertical asymptote be $x=1$?

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Welcome to MSE! It helps to format using MathJax (see FAQ). I updated. Regards –  Amzoti Apr 15 '13 at 1:02

The denominator function is $x - 6$. For what value(s) of x is that equal to zero? If the numerator isn't also zero at any of those values, then you have located the vertical asymptotes. (The vertical asymptotes of a rational function occur where the function is not defined.) –  RecklessReckoner Apr 15 '13 at 1:57