What is the asymptotes of f(x)=(x^2+5x)/(-2x^2+7x) ?

The asymptotes of f(x)=(x^2+5x)/(-2x^2+7x) is Vertical: x= 7/2 ,Horizontal: y=-1/2

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asymptotes of f(x)=(x^2+5x)/(-2x^2+7x)

asymptotes

f (x) = \frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x}

Vertical : x = \frac{7}{2}, Horizontal : y = - \frac{1}{2}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} : x = \frac{7}{2}

Horizontal Asymptotes of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} : y = - \frac{1}{2}

Slant Asymptotes of

\frac{x ^{2} + 5 x}{- 2 x ^{2} + 7 x} :

None

Vertical : x = \frac{7}{2}, Horizontal : y = - \frac{1}{2}

What is the asymptotes of f(x)=(x^2+5x)/(-2x^2+7x) ?
The asymptotes of f(x)=(x^2+5x)/(-2x^2+7x) is Vertical: x= 7/2 ,Horizontal: y=-1/2