What is the asymptotes of f(x)=(5x)/(x^3+5x^2-6x) ?

The asymptotes of f(x)=(5x)/(x^3+5x^2-6x) is Vertical: x=-6,x=1,Horizontal: y=0

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asymptotes of f(x)=(5x)/(x^3+5x^2-6x)

asymptotes

f (x) = \frac{5 x}{x ^{3} + 5 x ^{2} - 6 x}

Vertical : x = - 6, x = 1, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{5 x}{x ^{3} + 5 x ^{2} - 6 x} : x = - 6, x = 1

Horizontal Asymptotes of

\frac{5 x}{x ^{3} + 5 x ^{2} - 6 x} : y = 0

Slant Asymptotes of

\frac{5 x}{x ^{3} + 5 x ^{2} - 6 x} :

None

Vertical : x = - 6, x = 1, Horizontal : y = 0

f (x) = x^{2} - 16, x \leq 0

2 x - 3 y = 6

f (x) = 7 (\frac{x}{x + 5}) - 5

7 y - 8 = - 2 (2 - x)

- \frac{3}{2}

What is the asymptotes of f(x)=(5x)/(x^3+5x^2-6x) ?
The asymptotes of f(x)=(5x)/(x^3+5x^2-6x) is Vertical: x=-6,x=1,Horizontal: y=0