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{- x + 3}{x - 3}

f (x) = \frac{5 x - 9}{3 x + 6}

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

f (x) = \frac{9 x - 21}{12 x + 28}

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