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

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

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

asymptotes

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

Vertical : x = - 3, x = \frac{1}{2}, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 3, x = \frac{1}{2}, Horizontal : y = 0

\frac{2 x - 6}{x ^{2} - 9}

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

\frac{2 x ^{2}}{x ^{2} + 1}

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

\frac{4 x + 12}{x ^{2} - 9}

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