Question

can anyone help me with finding the vertical and horizontal asymptotes, hole, domain, and zero
for the equation f(x)=x+2/x2+x-2

Answer 1

For horizontal asymptote, find the limit of f(x) as x->+/- infinity.
Factor the denominator. What values of x are excluded from the domain?
What value of x makes f(x) +/- infinity?

Answer 2

can you put it in a drawing

Answer 3

http://www.wolframalpha.com/input/?i=plot++%28x%2B2%29%2F%28x^2%2Bx-2%29%2C+-3+%3C%3D+x+%3C%3D+3