What is the asymptotes of f(x)=(x^2+5x+1)/(x^2-6x-1) ?

The asymptotes of f(x)=(x^2+5x+1)/(x^2-6x-1) is Vertical: x=3-sqrt(10),x=3+sqrt(10),Horizontal: y=1

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asymptotes of f(x)=(x^2+5x+1)/(x^2-6x-1)

asymptotes

f (x) = \frac{x ^{2} + 5 x + 1}{x ^{2} - 6 x - 1}

Vertical : x = 3 - 10, x = 3 + 10, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5 x + 1}{x ^{2} - 6 x - 1} : x = 3 - 10, x = 3 + 10

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = 3 - 10, x = 3 + 10, Horizontal : y = 1

f (x) = x^{3} - 2 x

f (x) = - \frac{4}{x + 5}

f (x) = 12 (x - 3)^{2} - 4

cot (x) d x

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

What is the asymptotes of f(x)=(x^2+5x+1)/(x^2-6x-1) ?
The asymptotes of f(x)=(x^2+5x+1)/(x^2-6x-1) is Vertical: x=3-sqrt(10),x=3+sqrt(10),Horizontal: y=1