What is the asymptotes of f(x)=(3-14x-5x^2)/(3+7x+2x^2) ?

The asymptotes of f(x)=(3-14x-5x^2)/(3+7x+2x^2) is Vertical: x=-1/2 ,Horizontal: y=-5/2

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asymptotes of f(x)=(3-14x-5x^2)/(3+7x+2x^2)

asymptotes

f (x) = \frac{3 - 14 x - 5 x ^{2}}{3 + 7 x + 2 x ^{2}}

Vertical : x = - \frac{1}{2}, Horizontal : y = - \frac{5}{2}

Solution steps

Vertical asymptotes of

\frac{3 - 14 x - 5 x ^{2}}{3 + 7 x + 2 x ^{2}} : x = - \frac{1}{2}

Horizontal Asymptotes of

\frac{3 - 14 x - 5 x ^{2}}{3 + 7 x + 2 x ^{2}} : y = - \frac{5}{2}

Slant Asymptotes of

\frac{3 - 14 x - 5 x ^{2}}{3 + 7 x + 2 x ^{2}} :

None

Vertical : x = - \frac{1}{2}, Horizontal : y = - \frac{5}{2}

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

\frac{4 x - 5 x ^{3} - 3}{- x ^{3} + x ^{2} + 3}

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

f (x) = \frac{10 x ^{2}}{x - 8}

f (x) = \frac{10 x ^{2}}{x - 5}

What is the asymptotes of f(x)=(3-14x-5x^2)/(3+7x+2x^2) ?
The asymptotes of f(x)=(3-14x-5x^2)/(3+7x+2x^2) is Vertical: x=-1/2 ,Horizontal: y=-5/2