What is the asymptotes of (x^3-16x)/(-4x^2+4x+24) ?

The asymptotes of (x^3-16x)/(-4x^2+4x+24) is Vertical: x=-2,x=3,Slant: y=-1/4 x-1/4

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asymptotes of (x^3-16x)/(-4x^2+4x+24)

asymptotes

\frac{x ^{3} - 16 x}{- 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} - 16 x}{- 4 x ^{2} + 4 x + 24} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 16 x}{- 4 x ^{2} + 4 x + 24} :

None

Slant Asymptotes of

\frac{x ^{3} - 16 x}{- 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}

f (x) = \frac{1 - 5 x}{1 - x}

(x - 1)^{2} = y + 6

y = \frac{4}{2 x ^{2} + 1}

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

\frac{x ^{2} - 3 x + 2}{x ^{2} - 4 x + 3}

What is the asymptotes of (x^3-16x)/(-4x^2+4x+24) ?
The asymptotes of (x^3-16x)/(-4x^2+4x+24) is Vertical: x=-2,x=3,Slant: y=-1/4 x-1/4