Question

given the following rational function
f(x)= x^2+5x-7 / x-4

state domain, find vertical, horizontal and oblique asymptotes if any. I found the domain to be (-inf.,4)U(4, inf.) and vertical asymptote at x=4 am I right? can someone help me with the rest?

Answer 1

what about the oblique asymptote ?

divide out the right side (I used synthetic division)
f(x) = x + 9 + 29/(x-4)

so the oblique asymtote is
y = x+9

see:
http://www.wolframalpha.com/input/?i=%28x%5E2%2B5x-7%29%2F%28x-4%29

Answer 2

Reiny:

Thanks for the websites - they have helped immensely.