Question

How do you find the asymptotes for `(x^3-x)/(x^3-4x)`?

Answer 1

first factor out to simplest form:
`(x(x^2-1))/(x(x^2-4))=(x^2-1)/(x^2-4)`
You can further simplify it is of the form:
`(x^2-a^2) = (x+a)(x-a)`
And from here you should be able to find the asymptote
Good luck,
yonas