What is the asymptotes of f(x)=(x^2+5x+6)/(x^2+4x+1) ?

The asymptotes of f(x)=(x^2+5x+6)/(x^2+4x+1) is Vertical: x=-2-sqrt(3),x=-2+sqrt(3),Horizontal: y=1

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asymptotes of f(x)=(x^2+5x+6)/(x^2+4x+1)

asymptotes

f (x) = \frac{x ^{2} + 5 x + 6}{x ^{2} + 4 x + 1}

Vertical : x = - 2 - 3, x = - 2 + 3, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5 x + 6}{x ^{2} + 4 x + 1} : x = - 2 - 3, x = - 2 + 3

Horizontal Asymptotes of

\frac{x ^{2} + 5 x + 6}{x ^{2} + 4 x + 1} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 5 x + 6}{x ^{2} + 4 x + 1} :

None

Vertical : x = - 2 - 3, x = - 2 + 3, Horizontal : y = 1

What is the asymptotes of f(x)=(x^2+5x+6)/(x^2+4x+1) ?
The asymptotes of f(x)=(x^2+5x+6)/(x^2+4x+1) is Vertical: x=-2-sqrt(3),x=-2+sqrt(3),Horizontal: y=1