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

The asymptotes of f(x)=(x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=1

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

asymptotes

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

Vertical : x = - 3, x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 3, x = 2, Horizontal : y = 1

f (x) = \frac{x ^{2} - 16}{x - 4}

f (x) = x^{5} - 3 x^{3}

3 y - 9 = - 2 (3 - x)

\frac{2 ( x + 2 ) + x ^{2}}{x ( x + 2 )}

f (x) = x^{3} - 7 x^{2} + 2

What is the asymptotes of f(x)=(x^2)/(x^2+x-6) ?
The asymptotes of f(x)=(x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=1