What is the asymptotes of f(x)=(x^2+3x+1)/(x^2+5x+6) ?

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

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asymptotes of f(x)=(x^2+3x+1)/(x^2+5x+6)

asymptotes

f (x) = \frac{x ^{2} + 3 x + 1}{x ^{2} + 5 x + 6}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

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

f (x) = 5^{x - 6} + 5

f (x) = \frac{5 x - 20}{x ^{2} - 16}

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

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