What is the asymptotes of g(x)=(2x^2)/(x^2+x-6) ?

The asymptotes of g(x)=(2x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=2

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asymptotes of g(x)=(2x^2)/(x^2+x-6)

asymptotes

g (x) = \frac{2 x ^{2}}{x ^{2} + x - 6}

Vertical : x = - 3, x = 2, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{2}}{x ^{2} + x - 6} : x = - 3, x = 2

Horizontal Asymptotes of

\frac{2 x ^{2}}{x ^{2} + x - 6} : y = 2

Slant Asymptotes of

\frac{2 x ^{2}}{x ^{2} + x - 6} :

None

Vertical : x = - 3, x = 2, Horizontal : y = 2

(2.5) (- 1.7)

(3, 8), (1, - 4)

x^{2} - 4 x + 4

f (x) = - 1 + 4 x - x^{3}

f (x) = x + \frac{17}{x}

What is the asymptotes of g(x)=(2x^2)/(x^2+x-6) ?
The asymptotes of g(x)=(2x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=2