What is the asymptotes of f(x)=(4x^3-2x)/(5x^3-6x^2) ?

The asymptotes of f(x)=(4x^3-2x)/(5x^3-6x^2) is Vertical: x=0,x= 6/5 ,Horizontal: y= 4/5

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asymptotes of f(x)=(4x^3-2x)/(5x^3-6x^2)

asymptotes

f (x) = \frac{4 x ^{3} - 2 x}{5 x ^{3} - 6 x ^{2}}

Vertical : x = 0, x = \frac{6}{5}, Horizontal : y = \frac{4}{5}

Solution steps

Vertical asymptotes of

\frac{4 x ^{3} - 2 x}{5 x ^{3} - 6 x ^{2}} : x = 0, x = \frac{6}{5}

Horizontal Asymptotes of

\frac{4 x ^{3} - 2 x}{5 x ^{3} - 6 x ^{2}} : y = \frac{4}{5}

Slant Asymptotes of

\frac{4 x ^{3} - 2 x}{5 x ^{3} - 6 x ^{2}} :

None

Vertical : x = 0, x = \frac{6}{5}, Horizontal : y = \frac{4}{5}

\frac{x}{x ( x + 6 )}

x^{2} - 9

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

f (x) = \frac{2 x - 6}{x ^{2} - 3 x}

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

What is the asymptotes of f(x)=(4x^3-2x)/(5x^3-6x^2) ?
The asymptotes of f(x)=(4x^3-2x)/(5x^3-6x^2) is Vertical: x=0,x= 6/5 ,Horizontal: y= 4/5