What is the asymptotes of f(x)=(x^2+x)/(x^3+2x^2-8x) ?

The asymptotes of f(x)=(x^2+x)/(x^3+2x^2-8x) is Vertical: x=-4,x=2,Horizontal: y=0

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asymptotes of f(x)=(x^2+x)/(x^3+2x^2-8x)

asymptotes

f (x) = \frac{x ^{2} + x}{x ^{3} + 2 x ^{2} - 8 x}

Vertical : x = - 4, x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x}{x ^{3} + 2 x ^{2} - 8 x} : x = - 4, x = 2

Horizontal Asymptotes of

\frac{x ^{2} + x}{x ^{3} + 2 x ^{2} - 8 x} : y = 0

Slant Asymptotes of

\frac{x ^{2} + x}{x ^{3} + 2 x ^{2} - 8 x} :

None

Vertical : x = - 4, x = 2, Horizontal : y = 0

f (x) = 3 lo g_{3} (x)

\frac{( 2 - x ^{2} )}{x ^{2} + 9 x}

f (x) = 3 + lo g_{10} (x + 4)

f (x) = \frac{1}{3} (e^{x - 4}) + 5

f (x) = lo g_{2} (x - 2) + 3

What is the asymptotes of f(x)=(x^2+x)/(x^3+2x^2-8x) ?
The asymptotes of f(x)=(x^2+x)/(x^3+2x^2-8x) is Vertical: x=-4,x=2,Horizontal: y=0