# How do I find the asymptotes of y=13x/x+34? Are there even any asymptotes?

The only problem is at $x = 0$. To divide by 0 is undefined (not allowed). So at $x \ne 0 , \textcolor{w h i t e}{\times x} \frac{x}{x} = 1$ giving $y = 13 + 34 = 47$
The implication is that an asymptote exists at $x = 0$ . What shape/plot it would adopt I have no idea!