What is the asymptotes of f(x)=(3x^3)/(4x^2-8x) ?

The asymptotes of f(x)=(3x^3)/(4x^2-8x) is Vertical: x=2,Slant: y= 3/4 x+3/2

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asymptotes of f(x)=(3x^3)/(4x^2-8x)

asymptotes

f (x) = \frac{3 x ^{3}}{4 x ^{2} - 8 x}

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

Solution steps

Vertical asymptotes of

\frac{3 x ^{3}}{4 x ^{2} - 8 x} : x = 2

Horizontal Asymptotes of

\frac{3 x ^{3}}{4 x ^{2} - 8 x} :

None

Slant Asymptotes of

\frac{3 x ^{3}}{4 x ^{2} - 8 x} : y = \frac{3}{4} x + \frac{3}{2}

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

\frac{1}{\frac{20}{x - 5} - 2}

\frac{x ^{2} + 1}{x - 2}

\frac{x - 5}{2 x + 7}

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

f (x) = x^{2} \cdot e^{x}

What is the asymptotes of f(x)=(3x^3)/(4x^2-8x) ?
The asymptotes of f(x)=(3x^3)/(4x^2-8x) is Vertical: x=2,Slant: y= 3/4 x+3/2