Consider the function f ( x)=5 x^2−3 x+1 / x^2−5 x−14 a) State the domain of f(x) using interval notation. b) Find the equation of the horizontal asymptote(s) (if any). c) Find the equation of the vertical asymptote(s) (if any).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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2.
Consider the function f ( x)=5 x^2−3 x+1 / x^2−5 x−14


a) State the domain of f(x) using interval notation.
b) Find the equation of the horizontal asymptote(s) (if any).
c) Find the equation of the vertical asymptote(s) (if any). 

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