Find the horizontal asymptote(s) of the function _P(z) f (x) where p (x) = 11,² – a – 2 and q (x) = 10g4 – 3æ - Upload your work in the next question. Enter the y-intercept of the horizontal asymptote, rounded to the nearest hundredth, in the box below.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Question
Find the horizontal asymptote(s) of the function
p(a)
f (x) =
Va(2)
where p (x) = 11g² – x – 2 and q (x) = 10x1 – 3æ -
Upload your work in the next question. Enter the y-intercept of the
horizontal asymptote, rounded to the nearest hundredth, in the box below.
Transcribed Image Text:Find the horizontal asymptote(s) of the function p(a) f (x) = Va(2) where p (x) = 11g² – x – 2 and q (x) = 10x1 – 3æ - Upload your work in the next question. Enter the y-intercept of the horizontal asymptote, rounded to the nearest hundredth, in the box below.
Expert Solution
Step 1

Given:

     fx=pxqx

 where px=11x2-x-2

             qx=10x4-3x

then fx=11x2-x-210x4-3x

   Line y=L is a horizontal asymptote of the function y=fx,

    if either limxf(x)=L or limx-f(x)=L, and L is finite

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