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

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

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

asymptotes

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

Vertical : x = - 4, Slant : y = x + 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - 4, Slant : y = x + 1

f (x) = \frac{x + 2}{2}

x^{4} - 4 x^{2}

x^{4} - 8 x^{3} + 2

\frac{x - 5}{x ^{2} - 9}

4 sin (x)

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