What is the asymptotes of f(x)=(3x^2+12x)/(x^2+5x+4) ?

The asymptotes of f(x)=(3x^2+12x)/(x^2+5x+4) is Vertical: x=-1,Horizontal: y=3

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asymptotes of f(x)=(3x^2+12x)/(x^2+5x+4)

asymptotes

f (x) = \frac{3 x ^{2} + 12 x}{x ^{2} + 5 x + 4}

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

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 12 x}{x ^{2} + 5 x + 4} : x = - 1

Horizontal Asymptotes of

\frac{3 x ^{2} + 12 x}{x ^{2} + 5 x + 4} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + 12 x}{x ^{2} + 5 x + 4} :

None

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

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

y = \frac{( x + 2 )}{3}

f (x) = \frac{1}{4}

(5, 4), (5, - 5)

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

What is the asymptotes of f(x)=(3x^2+12x)/(x^2+5x+4) ?
The asymptotes of f(x)=(3x^2+12x)/(x^2+5x+4) is Vertical: x=-1,Horizontal: y=3