I need the whole question 6x2+3x-109. Given the rational function f (x) =complete the following.%3Dx+4(a) Explain, using a complete sentence, why f (x) has an oblique asymptote.(b) Algebraically find the equation for the oblique asymptote.

Name: I need the whole question 6x2+3x-109. Given the rational function f (x
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Description: I need the whole question 6x2+3x-109. Given the rational function f (x) =complete the following.%3Dx+4(a) Explain, using a complete sentence, why f (x) has an oblique asymptote.(b) Algebraically find the equation for the oblique asymptote.

Answered: 6x2+3x-10 9. Given the rational…

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter7: Rational Expressions And Functions

Section: Chapter Questions

Problem 441RE: For rational function, f(x)=x+2x26x+8 , (a) find the domain of the function (b) solve f(x)=1 (c)...

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I need the whole question

6x2+3x-10
9. Given the rational function f (x) =
complete the following.
%3D
x+4
(a) Explain, using a complete sentence, why f (x) has an oblique asymptote.
(b) Algebraically find the equation for the oblique asymptote.

Expert Solution

Step 1

Consider the function

Step 2

Oblique asymptote:

An oblique is an asymptote along a line .

Oblique asymptote of a rational function exist when the degree of the denominator is one less than the degree of the numerator.

(a)

Clearly f(x) is a rational function in which the degree of denominator is one less than the degree of numerator.

Hence f(x) has an oblique asymptote.

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