# Effect of y² and 1/y on oblique asymptotes

Hi everyone. If I have a y= graph and I do a transformation of either 1/y or y², the oblique asymptotes will disappear as they are no longer 'oblique'. Is that correct.

A simple yes or no would suffice.

Thanks.

to get an oblique asymptote on the right, you must have $$\lim_{x->+\infty} \frac {f(x)} {x} = C$$ for some constant C>0.
Is this still possible if you replace f(x) with 1/f(x) or $\sqrt{f(x)}$ ?