+1995 What is the equation of the slant asymptote of the rational function?
f(x)=8x^3−6x^2+6x−5/ 2x^2−1
y=x−3/2
y=4x−3/2
y=x−3
y=4x−3
i think its y=4x-3
+129852 (8x^3−6x^2+6x−5) / (2x^2−1 )
Divide the polynomials....disregard any remainder
4x - 3
2x^2 - 1 [ 8x^3 - 6x^2 + 6x - 5 ]
8x^3 -4x
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-6x^2 -5
-6x^2 + 3
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10x - 8
The slant asymptote is y = 4x - 3
This graph confirms this : https://www.desmos.com/calculator/5xmjxmfwsh
