Question

How do you find the domain, identify any horizontal, vertical, and slant (if possible) asymptotes and identify holes, x-intercepts, and y-intercepts for `f(x)=(x^2)/(x-1)`?

Answer 1

Refer to explanation

Explanation:

The domain of f(x) is `R-{1}` is the set of all reals except 1.

As `x->1` , `f(x)->oo` hence x=1 vertical asymptote.

The oblique asymptote for f(x) is `y=x+1`