What is the asymptotes of f(x)=(x(x+4))/(2x(x-3)) ?

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

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asymptotes of f(x)=(x(x+4))/(2x(x-3))

asymptotes

f (x) = \frac{x ( x + 4 )}{2 x ( x - 3 )}

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

Solution steps

Vertical asymptotes of

\frac{x ( x + 4 )}{2 x ( x - 3 )} : x = 3

Horizontal Asymptotes of

\frac{x ( x + 4 )}{2 x ( x - 3 )} : y = \frac{1}{2}

Slant Asymptotes of

\frac{x ( x + 4 )}{2 x ( x - 3 )} :

None

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

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

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

f (x) = \frac{( x ^{2} - 4 )}{x - 1}

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

f (x) = \frac{5 x - 25}{x ^{2} - 10 x + 25}

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