Question

What are the asymptote(s) and hole(s), if any, of `f(x) =(1+1/x)/((x-3)*x)`?

Answer 1

No holes, `x = 0 and x =3` are the asymptotes.

Explanation:

There are no factors that cancel out in the numerator and denominator so there are no holes.

To find the asymptotes we set the denominator equal to 0 and solve for where the function is undefined.

`(x-3) * x =0`

`x = 0 and x =3` are the asymptotes.