What is the asymptotes of f(x)=(x^3-64)/(x^2-2x-8) ?

The asymptotes of f(x)=(x^3-64)/(x^2-2x-8) is Vertical: x=-2,Slant: y=x+2

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asymptotes of f(x)=(x^3-64)/(x^2-2x-8)

asymptotes

f (x) = \frac{x ^{3} - 64}{x ^{2} - 2 x - 8}

Vertical : x = - 2, Slant : y = x + 2

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 64}{x ^{2} - 2 x - 8} : x = - 2

Horizontal Asymptotes of

\frac{x ^{3} - 64}{x ^{2} - 2 x - 8} :

None

Slant Asymptotes of

\frac{x ^{3} - 64}{x ^{2} - 2 x - 8} : y = x + 2

Vertical : x = - 2, Slant : y = x + 2

What is the asymptotes of f(x)=(x^3-64)/(x^2-2x-8) ?
The asymptotes of f(x)=(x^3-64)/(x^2-2x-8) is Vertical: x=-2,Slant: y=x+2