What is the asymptotes of f(x)=(5x^2)/(3x^2+7x) ?

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

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asymptotes of f(x)=(5x^2)/(3x^2+7x)

asymptotes

f (x) = \frac{5 x ^{2}}{3 x ^{2} + 7 x}

Vertical : x = - \frac{7}{3}, Horizontal : y = \frac{5}{3}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - \frac{7}{3}, Horizontal : y = \frac{5}{3}

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

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

f (x) = x^{2} \cdot e^{- x^{2}}

f (x) = \frac{9 x ^{2} - 64}{9 x - 24}

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

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