Question

Need help with an asymptote problem. I'm attaching the problem below.

Answer 1

The vertical asymptote is the value of x where you would be dividing by 0. Horizontal asymptotes are:
\[\lim_{x \rightarrow \infty+} f(x)\]
and
\[\lim_{x \rightarrow \infty-} f(x)\]
However, the limits are both infinite. So, no horizontal asymptotes...to my understanding.

Answer 2

if you were going to write this in y=mx+b format how would you do it?

Answer 3

Your vertical asymptote would be x=c where c is the value of x that would make the function divide by 0. The horizontal....indeterminate because infinity is not a number. The diagonal asymptote, well...I have never run into this sort of thing.