What is the asymptotes of f(x)=(x^3-1)/(-4x^2+4x+24) ?

The asymptotes of f(x)=(x^3-1)/(-4x^2+4x+24) is Vertical: x=-2,x=3,Slant: y=-1/4 x-1/4

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asymptotes of f(x)=(x^3-1)/(-4x^2+4x+24)

asymptotes

f (x) = \frac{x ^{3} - 1}{- 4 x ^{2} + 4 x + 24}

Vertical : x = - 2, x = 3, Slant : y = - \frac{1}{4} x - \frac{1}{4}

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 1}{- 4 x ^{2} + 4 x + 24} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 1}{- 4 x ^{2} + 4 x + 24} :

None

Slant Asymptotes of

\frac{x ^{3} - 1}{- 4 x ^{2} + 4 x + 24} : y = - \frac{1}{4} x - \frac{1}{4}

Vertical : x = - 2, x = 3, Slant : y = - \frac{1}{4} x - \frac{1}{4}

What is the asymptotes of f(x)=(x^3-1)/(-4x^2+4x+24) ?
The asymptotes of f(x)=(x^3-1)/(-4x^2+4x+24) is Vertical: x=-2,x=3,Slant: y=-1/4 x-1/4