Answered: (х-3) (х+2) f(x) = (x+2)(x2–25) (a)…

(х-3) (х+2) f(x) = (x+2)(x2–25) (a) Determine the domain. (b) Determine the equation(s) of the vertical asymptote(s), if any. (c) Determine the equation(s) of the horizontal asymptote(s), if any.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 27E

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Question

(x-3)(x+2)
f(x) =
(x+2)(x²-25)
(a)
Determine the domain.
(b) Determine the equation(s) of the vertical asymptote(s), if any.
(c) Determine the equation(s) of the horizontal asymptote(s), if any.
(d) Determine the coordinates of the point where the graph of f (x) crosses the
horizontal asymptote.

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