What is the asymptotes of f(x)=(x^2+5x)/(2x^2+7x-15) ?

The asymptotes of f(x)=(x^2+5x)/(2x^2+7x-15) is Vertical: x= 3/2 ,Horizontal: y= 1/2

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asymptotes of f(x)=(x^2+5x)/(2x^2+7x-15)

asymptotes

f (x) = \frac{x ^{2} + 5 x}{2 x ^{2} + 7 x - 15}

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

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5 x}{2 x ^{2} + 7 x - 15} : x = \frac{3}{2}

Horizontal Asymptotes of

\frac{x ^{2} + 5 x}{2 x ^{2} + 7 x - 15} : y = \frac{1}{2}

Slant Asymptotes of

\frac{x ^{2} + 5 x}{2 x ^{2} + 7 x - 15} :

None

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

f (x) = \frac{6 x - 4}{2 x + 1}

y = - x^{2} - 2 x - 2

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

4 y = 3 x + 2

f (x) = x^{3} + 8 x^{2} + 16 x + 3

What is the asymptotes of f(x)=(x^2+5x)/(2x^2+7x-15) ?
The asymptotes of f(x)=(x^2+5x)/(2x^2+7x-15) is Vertical: x= 3/2 ,Horizontal: y= 1/2