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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

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

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

f (x) = \frac{5 x ^{2} + 3 x - 2}{x ^{3} - 8}

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

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