What is the asymptotes of (3x^2-7x-20)/(3x^2+13x+4) ?

The asymptotes of (3x^2-7x-20)/(3x^2+13x+4) is Vertical: x=-4,x=-1/3 ,Horizontal: y=1

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asymptotes of (3x^2-7x-20)/(3x^2+13x+4)

asymptotes

\frac{3 x ^{2} - 7 x - 20}{3 x ^{2} + 13 x + 4}

Vertical : x = - 4, x = - \frac{1}{3}, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} - 7 x - 20}{3 x ^{2} + 13 x + 4} : x = - 4, x = - \frac{1}{3}

Horizontal Asymptotes of

\frac{3 x ^{2} - 7 x - 20}{3 x ^{2} + 13 x + 4} : y = 1

Slant Asymptotes of

\frac{3 x ^{2} - 7 x - 20}{3 x ^{2} + 13 x + 4} :

None

Vertical : x = - 4, x = - \frac{1}{3}, Horizontal : y = 1

f (x) = \frac{1}{x + 36}

(- 1, - 1), (- 7, - 9)

y = - 2 x

f (x) = (x^{2} - 36)^{\frac{1}{3}}

y = x^{2} - 8 x + 12

What is the asymptotes of (3x^2-7x-20)/(3x^2+13x+4) ?
The asymptotes of (3x^2-7x-20)/(3x^2+13x+4) is Vertical: x=-4,x=-1/3 ,Horizontal: y=1