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

The asymptotes of f(x)=(3x^3+x^2+1)/(x^2+2x) is Vertical: x=-2,x=0,Slant: y=3x-5

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

asymptotes

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

Vertical : x = - 2, x = 0, Slant : y = 3 x - 5

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{3 x ^{3} + x ^{2} + 1}{x ^{2} + 2 x} : y = 3 x - 5

Vertical : x = - 2, x = 0, Slant : y = 3 x - 5

What is the asymptotes of f(x)=(3x^3+x^2+1)/(x^2+2x) ?
The asymptotes of f(x)=(3x^3+x^2+1)/(x^2+2x) is Vertical: x=-2,x=0,Slant: y=3x-5