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}

f (x) = \frac{( x ^{2} - 2 x )}{x ^{4} - 16}

f (x) = 5^{x + 3}

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

f (x) = \frac{x ^{2} - 9}{x ^{3} + 27}

f (x) = \frac{ln ( 2 x + 8 )}{x + 4} + 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