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

The asymptotes of f(x)=(3x^2-4x-2)/(x+6) is Vertical: x=-6,Slant: y=3x-22

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

asymptotes

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

Vertical : x = - 6, Slant : y = 3 x - 22

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{3 x ^{2} - 4 x - 2}{x + 6} : y = 3 x - 22

Vertical : x = - 6, Slant : y = 3 x - 22

d o main f (x) = 7 x + 15

e x t re m e f (x) = e^{x} (x + 2)

y = \frac{2}{x - 2}

l in e (0, - 5), (5, - 4)

s l o p e in t erce pt 5 x - 2 y = 4

What is the asymptotes of f(x)=(3x^2-4x-2)/(x+6) ?
The asymptotes of f(x)=(3x^2-4x-2)/(x+6) is Vertical: x=-6,Slant: y=3x-22