Question

How do you find any asymptotes of `y=2x+1/x`?

Answer 1

The only value that x can't be is 0. It can be any other real number. So, the asymptote must be x=0.

This can be seen on the graph below...

graph{y=2x+(1/x) [-18.02, 18.02, -9.02, 9]}