What is the asymptotes of f(x)=(x^2+3x+2)/(-3x-12) ?

The asymptotes of f(x)=(x^2+3x+2)/(-3x-12) is Vertical: x=-4,Slant: y=-1/3 x+1/3

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asymptotes of f(x)=(x^2+3x+2)/(-3x-12)

asymptotes

f (x) = \frac{x ^{2} + 3 x + 2}{- 3 x - 12}

Vertical : x = - 4, Slant : y = - \frac{1}{3} x + \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3 x + 2}{- 3 x - 12} : x = - 4

Horizontal Asymptotes of

\frac{x ^{2} + 3 x + 2}{- 3 x - 12} :

None

Slant Asymptotes of

\frac{x ^{2} + 3 x + 2}{- 3 x - 12} : y = - \frac{1}{3} x + \frac{1}{3}

Vertical : x = - 4, Slant : y = - \frac{1}{3} x + \frac{1}{3}

f (x) = \frac{6}{x + 5} + x

x^{2} + y^{2} = 25

f (x) = \frac{1}{3} x^{3} - x^{2} - 4

7 cos (10 x - 6 π) + 8

\frac{x}{x + 7}

What is the asymptotes of f(x)=(x^2+3x+2)/(-3x-12) ?
The asymptotes of f(x)=(x^2+3x+2)/(-3x-12) is Vertical: x=-4,Slant: y=-1/3 x+1/3