What is the asymptotes of f(x)=(-12x)/(3x^3+x^2+1) ?

The asymptotes of f(x)=(-12x)/(3x^3+x^2+1) is Vertical: x=-0.82412…,Horizontal: y=0

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asymptotes of f(x)=(-12x)/(3x^3+x^2+1)

asymptotes

f (x) = \frac{- 12 x}{3 x ^{3} + x ^{2} + 1}

Vertical : x = - 0.82412 \dots, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{- 12 x}{3 x ^{3} + x ^{2} + 1} : x = - 0.82412 \dots

Horizontal Asymptotes of

\frac{- 12 x}{3 x ^{3} + x ^{2} + 1} : y = 0

Slant Asymptotes of

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

None

Vertical : x = - 0.82412 \dots, Horizontal : y = 0

\frac{5 x + 5}{8 x + 16}

f (x) = \frac{8}{x + 5}

\frac{x - 2}{x ^{3} + 1}

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

f (x) = \frac{( x ^{2} + x - 6 )}{- 4 x ^{2} - 16 x - 12}

What is the asymptotes of f(x)=(-12x)/(3x^3+x^2+1) ?
The asymptotes of f(x)=(-12x)/(3x^3+x^2+1) is Vertical: x=-0.82412…,Horizontal: y=0