What is the asymptotes of f(x)= x/(2x-6) ?

The asymptotes of f(x)= x/(2x-6) is Vertical: x=3,Horizontal: y= 1/2

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asymptotes of f(x)= x/(2x-6)

asymptotes

f (x) = \frac{x}{2 x - 6}

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

Solution steps

Vertical asymptotes of

\frac{x}{2 x - 6} : x = 3

Horizontal Asymptotes of

\frac{x}{2 x - 6} : y = \frac{1}{2}

Slant Asymptotes of

\frac{x}{2 x - 6} :

None

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

\frac{5 x}{2 x - 5}

f (x) = - \frac{5}{2 x - 5}

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

f (x) = \frac{x + 9}{x ^{2} - 49}

f (x) = \frac{x ^{2} - 5 x + 4}{x ^{2} - 4}

What is the asymptotes of f(x)= x/(2x-6) ?
The asymptotes of f(x)= x/(2x-6) is Vertical: x=3,Horizontal: y= 1/2