danidavis2002 danidavis2002

05-01-2019
Mathematics

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Given the function a(x)=4x^2-x+2 and b(x)=x+1, identify the oblique asymptote of a(×)/b(x)

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jimrgrant1 jimrgrant1

05-01-2019

Answer:

y = 4x - 5

Step-by-step explanation:

[tex]\frac{4x^2-x+2}{x+1}[/tex] = 4x - 5 + [tex]\frac{7}{x+1}[/tex]

as x → ± ∞ , [tex]\frac{a(x)}{b(x)}[/tex] → 4x - 5

the oblique asymptote is y = 4x - 5

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