precalculus
posted by Sara .
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
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
Reiny:
Thanks for the websites  they have helped immensely.
Respond to this Question
Similar Questions

AlgebraI'm still stuck
The onetoone function f is defined by f(x)=(4x1)/(x+7). Find f^1, the inverse of f. Then, give the domain and range of f^1 using interval notation. f^1(x)= Domain (f^1)= Range (f^1)= Any help is greatly appreciated. Algebra … 
Math  Domain and Asymptotes
Given the following rational function: f(x) = (x^2 + 6x  8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any. 
Calculus
Consider the function f(x)=x−15x^1/3. For the following questions, write inf for ∞, inf for −∞, U for the union symbol, None if no answer exists, and separate by a comma if more than one answer exist. a.) The … 
pre calculus
given the following rational function a. state the domain b. find the vertical and horizontal asymptotes if any c. find the oblique asymptote f(x) = x^2 + 7x + 5 / x + 8 
Precalculus
Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the xaxis c) a hole at x = 2 and a vertical asymptote at x = 1 d) a vertical asymptote … 
College Algebra
1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = 2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. … 
college algebra
Given the following rational function, find: A. horizontal asymptotes B. vertical asymptote(s), if any C. oblique asymptote(s), if any f(x)=x^2x2/2x^2x21 
PreCalculus
State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5x)/(x+3) I already know that the Vertical asymptote is 3, so that means the domain is everything except … 
Geomatry
For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. yintercept g. xintercepts 1. f(x)= x^2+x2 / x^2x6 
algebra
For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. yintercept g. xintercepts 1. f(x)= x^2+x2 / x^2x6