What is the asymptotes of f(x)=(3x+4)/(x^2+x-6) ?

The asymptotes of f(x)=(3x+4)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=0

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asymptotes of f(x)=(3x+4)/(x^2+x-6)

asymptotes

f (x) = \frac{3 x + 4}{x ^{2} + x - 6}

Vertical : x = - 3, x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{3 x + 4}{x ^{2} + x - 6} : x = - 3, x = 2

Horizontal Asymptotes of

\frac{3 x + 4}{x ^{2} + x - 6} : y = 0

Slant Asymptotes of

\frac{3 x + 4}{x ^{2} + x - 6} :

None

Vertical : x = - 3, x = 2, Horizontal : y = 0

f (x) = \frac{1}{2 6 - x}

\frac{5 x}{x - 4}

y = 2 x^{2} + 8 x + 9

(- 2, 3), (4, - 1)

5 x - 30

What is the asymptotes of f(x)=(3x+4)/(x^2+x-6) ?
The asymptotes of f(x)=(3x+4)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=0