Question

What are the asymptotes and removable discontinuities, if any, of `f(x)= x^2+3x-4/ x+2`?

Answer 1

Domain `{x|x!=0}`

0 is a asymptote.

Explanation:

`f(x)= x^2+3x-4/ x+2`

This function has a asymptote at 0 because `4/0` is undefined, it has no removable discontinuities because none of the factors in the denominator can be cancelled by factors in the numerator.

graph{x^2+3x-4/ x+2 [-20, 20, -10, 10]}