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

The asymptotes of f(x)=((x^2+2x+4))/(2x) is Vertical: x=0,Slant: y= 1/2 x+1

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

asymptotes

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

Vertical : x = 0, Slant : y = \frac{1}{2} x + 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 2 x + 4}{2 x} : x = 0

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 0, Slant : y = \frac{1}{2} x + 1

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

f (x) = e^{x} + 2

f (x) = \frac{4 x}{x ^{2} - 36}

f (x) = 1 + \frac{7}{x} - \frac{9}{x ^{2}}

lo g_{3} (x - 1)

What is the asymptotes of f(x)=((x^2+2x+4))/(2x) ?
The asymptotes of f(x)=((x^2+2x+4))/(2x) is Vertical: x=0,Slant: y= 1/2 x+1