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

The asymptotes of f(x)=(x^2-5x-3)/(2x+1) is Vertical: x=-1/2 ,Slant: y= 1/2 x-11/4

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

asymptotes

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

Vertical : x = - \frac{1}{2}, Slant : y = \frac{1}{2} x - \frac{11}{4}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} - 5 x - 3}{2 x + 1} : y = \frac{1}{2} x - \frac{11}{4}

Vertical : x = - \frac{1}{2}, Slant : y = \frac{1}{2} x - \frac{11}{4}

\frac{x - 1}{x ^{2} + 11 x + 10}

f (x) = 3 x - 1

f (x) = - 5 x + 30

\frac{1}{( x - 1 )}

f (x) = \frac{25}{( x ^{2} + 3 )}

What is the asymptotes of f(x)=(x^2-5x-3)/(2x+1) ?
The asymptotes of f(x)=(x^2-5x-3)/(2x+1) is Vertical: x=-1/2 ,Slant: y= 1/2 x-11/4