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

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

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

asymptotes

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

Vertical : x = \frac{3}{2}, Horizontal : y = \frac{1}{2}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = \frac{3}{2}, Horizontal : y = \frac{1}{2}

\frac{4 x + 12}{x ^{2} - 9}

f (x) = arctan (e^{6 x} + 1)

\frac{4 x - 8}{x ^{2} - x - 2}

f (x) = \frac{x ^{2} + 6 x - 16}{3 x + 15}

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

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