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

The asymptotes of f(x)=(x^2+3)/(5x-2x^2) is Vertical: x=0,x= 5/2 ,Horizontal: y=-1/2

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

asymptotes

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

Vertical : x = 0, x = \frac{5}{2}, Horizontal : y = - \frac{1}{2}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3}{5 x - 2 x ^{2}} : x = 0, x = \frac{5}{2}

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 0, x = \frac{5}{2}, Horizontal : y = - \frac{1}{2}

f (x) = \frac{2 x - 5}{x ^{2} - 5 x + 6}

- \frac{1}{x + 4} - 1

f (x) = x + 4 - 6

f (x) = \frac{x ^{2} - 25}{- 2 x ^{2} - 10}

f (x) = x^{4} - 36 x^{2}

What is the asymptotes of f(x)=(x^2+3)/(5x-2x^2) ?
The asymptotes of f(x)=(x^2+3)/(5x-2x^2) is Vertical: x=0,x= 5/2 ,Horizontal: y=-1/2