Graph all vertical and horizontal asymptotes of the rational function. S(x) = %3D - 4x+6

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.1: Rational Functions And Asymptotes
Problem 3ECP
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Graph all vertical and horizontal asymptotes of the rational function.
9.
f(x)= -
- 4x+6
2-
----
Transcribed Image Text:Graph all vertical and horizontal asymptotes of the rational function. 9. f(x)= - - 4x+6 2- ----
Expert Solution
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.

y=\frac{9}{-4x+6}

to find the vertical asymptote, take denominator 0

-4x+6=0

4x=6

x=\frac{6}{4}

x=\frac{3}{2}

{\color{Red} x=1.5}...............vertical asymptote passing through the point (1.5,0)

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