What is the asymptotes of f(x)=(9x^2+x-6)/(x^2+x-2) ?

The asymptotes of f(x)=(9x^2+x-6)/(x^2+x-2) is Vertical: x=-2,x=1,Horizontal: y=9

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asymptotes of f(x)=(9x^2+x-6)/(x^2+x-2)

asymptotes

f (x) = \frac{9 x ^{2} + x - 6}{x ^{2} + x - 2}

Vertical : x = - 2, x = 1, Horizontal : y = 9

Solution steps

Vertical asymptotes of

\frac{9 x ^{2} + x - 6}{x ^{2} + x - 2} : x = - 2, x = 1

Horizontal Asymptotes of

\frac{9 x ^{2} + x - 6}{x ^{2} + x - 2} : y = 9

Slant Asymptotes of

\frac{9 x ^{2} + x - 6}{x ^{2} + x - 2} :

None

Vertical : x = - 2, x = 1, Horizontal : y = 9

1 0^{x}

2 x^{2} - x - 1

3 x - 2 y + 5 = 0

\frac{2 x - 2}{x + 2}

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

What is the asymptotes of f(x)=(9x^2+x-6)/(x^2+x-2) ?
The asymptotes of f(x)=(9x^2+x-6)/(x^2+x-2) is Vertical: x=-2,x=1,Horizontal: y=9