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

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

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asymptotes of (x-4)/(3x-x^2)

asymptotes

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

Vertical : x = 0, x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x - 4}{3 x - x ^{2}} : y = 0

Slant Asymptotes of

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

None

Vertical : x = 0, x = 3, Horizontal : y = 0

f (x) = \frac{1 - x}{x ^{3} - 64}

f (x) = \frac{x ^{2} - 5 x}{1 - 4 x}

\frac{4 + 6 x + x ^{2}}{2 x}

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

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

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