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

The asymptotes of (x^2+x-2)/(3x^2-4x-20) is Vertical: x= 10/3 ,Horizontal: y= 1/3

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

asymptotes

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

Vertical : x = \frac{10}{3}, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x - 2}{3 x ^{2} - 4 x - 20} : x = \frac{10}{3}

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = \frac{10}{3}, Horizontal : y = \frac{1}{3}

f (x) = \frac{x ^{3}}{x + 1}

(3, 5.568), (0, 0)

f (x) = 5 x^{2} + 1

x = - 4 (y - 7)^{2} + 7

y = - x^{2} + 8 x - 16

What is the asymptotes of (x^2+x-2)/(3x^2-4x-20) ?
The asymptotes of (x^2+x-2)/(3x^2-4x-20) is Vertical: x= 10/3 ,Horizontal: y= 1/3