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

The asymptotes of f(x)=(5x^2)/(x-3x^2) is Vertical: x= 1/3 ,Horizontal: y=-5/3

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

asymptotes

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

Vertical : x = \frac{1}{3}, Horizontal : y = - \frac{5}{3}

Solution steps

Vertical asymptotes of

\frac{5 x ^{2}}{x - 3 x ^{2}} : x = \frac{1}{3}

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = \frac{1}{3}, Horizontal : y = - \frac{5}{3}

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

\frac{( x ^{2} - x - 2 )}{( x ^{2} - 2 x - 8 )}

5^{x} + 4

f (x) = \frac{x ^{2} + x}{x ( x - 7 )}

f (x) = \frac{7 x - 10}{2 x ^{2} - 1}

What is the asymptotes of f(x)=(5x^2)/(x-3x^2) ?
The asymptotes of f(x)=(5x^2)/(x-3x^2) is Vertical: x= 1/3 ,Horizontal: y=-5/3