What is the asymptotes of f(x)=(x^2+4x)/(x^2+4x+3) ?

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

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asymptotes of f(x)=(x^2+4x)/(x^2+4x+3)

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} + 4 x}{x ^{2} + 4 x + 3} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 4 x}{x ^{2} + 4 x + 3} :

None

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

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

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

\frac{x ^{2} + 4}{x + 2}

x^{2} - 4

\frac{x + 1}{x ^{2} - 4}

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