What is the asymptotes of f(x)=(2x^2)/(3x^2+7x+2) ?

The asymptotes of f(x)=(2x^2)/(3x^2+7x+2) is Vertical: x=-2,x=-1/3 ,Horizontal: y= 2/3

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asymptotes of f(x)=(2x^2)/(3x^2+7x+2)

asymptotes

f (x) = \frac{2 x ^{2}}{3 x ^{2} + 7 x + 2}

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{2}}{3 x ^{2} + 7 x + 2} : x = - 2, x = - \frac{1}{3}

Horizontal Asymptotes of

\frac{2 x ^{2}}{3 x ^{2} + 7 x + 2} : y = \frac{2}{3}

Slant Asymptotes of

\frac{2 x ^{2}}{3 x ^{2} + 7 x + 2} :

None

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

\frac{3 x ^{2}}{x ^{2} - 16}

\frac{- 4 x - 19}{3 x + 5}

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

\frac{2 x ^{3} + 4 x ^{2} - 9}{- x ^{2} + 3}

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

What is the asymptotes of f(x)=(2x^2)/(3x^2+7x+2) ?
The asymptotes of f(x)=(2x^2)/(3x^2+7x+2) is Vertical: x=-2,x=-1/3 ,Horizontal: y= 2/3