What is the asymptotes of f(x)=(x(x+3))/(x^2+x-6) ?

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

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asymptotes of f(x)=(x(x+3))/(x^2+x-6)

asymptotes

f (x) = \frac{x ( x + 3 )}{x ^{2} + x - 6}

Vertical : x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ( x + 3 )}{x ^{2} + x - 6} : y = 1

Slant Asymptotes of

\frac{x ( x + 3 )}{x ^{2} + x - 6} :

None

Vertical : x = 2, Horizontal : y = 1

\frac{- x - 3}{x + 2}

f (x) = 5 - 3 x

- \frac{1}{2 6 - x}

f (x) = 9 x^{2} - x^{3} - 3

\frac{9 x ^{2} - 16}{2 ( 3 x + 4 ) ^{2}}

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