What is the asymptotes of f(x)=(3x^2+15x)/(6x-9x^2) ?

The asymptotes of f(x)=(3x^2+15x)/(6x-9x^2) is Vertical: x= 2/3 ,Horizontal: y=-1/3

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asymptotes of f(x)=(3x^2+15x)/(6x-9x^2)

asymptotes

f (x) = \frac{3 x ^{2} + 15 x}{6 x - 9 x ^{2}}

Vertical : x = \frac{2}{3}, Horizontal : y = - \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 15 x}{6 x - 9 x ^{2}} : x = \frac{2}{3}

Horizontal Asymptotes of

\frac{3 x ^{2} + 15 x}{6 x - 9 x ^{2}} : y = - \frac{1}{3}

Slant Asymptotes of

\frac{3 x ^{2} + 15 x}{6 x - 9 x ^{2}} :

None

Vertical : x = \frac{2}{3}, Horizontal : y = - \frac{1}{3}

x - \frac{2}{x}

f (x) = \frac{1}{6 x}

(x + 3)^{\frac{6}{7}}

f (x) = \frac{x - 1}{x + 7}

f (x) = 3 x^{3}

What is the asymptotes of f(x)=(3x^2+15x)/(6x-9x^2) ?
The asymptotes of f(x)=(3x^2+15x)/(6x-9x^2) is Vertical: x= 2/3 ,Horizontal: y=-1/3