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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

f (x) = y^{11}

\frac{1}{( x - 6 ) ^{2}}

f (x) = 10 - x

f (x) = 3^{x}

(- 3.5) y = - 4 x + 5

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