What is the asymptotes of f(x)=(x^2+11x+18)/(2x+1) ?

The asymptotes of f(x)=(x^2+11x+18)/(2x+1) is Vertical: x=-1/2 ,Slant: y= 1/2 x+21/4

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asymptotes of f(x)=(x^2+11x+18)/(2x+1)

asymptotes

f (x) = \frac{x ^{2} + 11 x + 18}{2 x + 1}

Vertical : x = - \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{21}{4}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 11 x + 18}{2 x + 1} : x = - \frac{1}{2}

Horizontal Asymptotes of

\frac{x ^{2} + 11 x + 18}{2 x + 1} :

None

Slant Asymptotes of

\frac{x ^{2} + 11 x + 18}{2 x + 1} : y = \frac{1}{2} x + \frac{21}{4}

Vertical : x = - \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{21}{4}

What is the asymptotes of f(x)=(x^2+11x+18)/(2x+1) ?
The asymptotes of f(x)=(x^2+11x+18)/(2x+1) is Vertical: x=-1/2 ,Slant: y= 1/2 x+21/4