Posted by Sara on Saturday, January 14, 2012 at 12:50pm.
given the following rational function
f(x)= x^2+5x7 / x4
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?

precalculus  Reiny, Saturday, January 14, 2012 at 5:26pm
what about the oblique asymptote ?
divide out the right side (I used synthetic division)
f(x) = x + 9 + 29/(x4)
so the oblique asymtote is
y = x+9
see:
http://www.wolframalpha.com/input/?i=%28x%5E2%2B5x7%29%2F%28x4%29

precalculus  Sara, Sunday, January 15, 2012 at 8:56am
Reiny:
Thanks for the websites  they have helped immensely.
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