What is the asymptotes of f(x)=(x^3-4x)/(4x^2-12x) ?

The asymptotes of f(x)=(x^3-4x)/(4x^2-12x) is Vertical: x=3,Slant: y= 1/4 x+3/4

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asymptotes of f(x)=(x^3-4x)/(4x^2-12x)

asymptotes

f (x) = \frac{x ^{3} - 4 x}{4 x ^{2} - 12 x}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 4 x}{4 x ^{2} - 12 x} : x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 4 x}{4 x ^{2} - 12 x} :

None

Slant Asymptotes of

\frac{x ^{3} - 4 x}{4 x ^{2} - 12 x} : y = \frac{1}{4} x + \frac{3}{4}

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

What is the asymptotes of f(x)=(x^3-4x)/(4x^2-12x) ?
The asymptotes of f(x)=(x^3-4x)/(4x^2-12x) is Vertical: x=3,Slant: y= 1/4 x+3/4