What is the asymptotes of f(x)=(5x)/(2x-6) ?

The asymptotes of f(x)=(5x)/(2x-6) is Vertical: x=3,Horizontal: y= 5/2

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asymptotes of f(x)=(5x)/(2x-6)

asymptotes

f (x) = \frac{5 x}{2 x - 6}

Vertical : x = 3, Horizontal : y = \frac{5}{2}

Solution steps

Vertical asymptotes of

\frac{5 x}{2 x - 6} : x = 3

Horizontal Asymptotes of

\frac{5 x}{2 x - 6} : y = \frac{5}{2}

Slant Asymptotes of

\frac{5 x}{2 x - 6} :

None

Vertical : x = 3, Horizontal : y = \frac{5}{2}

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

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

x^{2} - 5 x + 6

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

- 2 sin (4 x - π)

What is the asymptotes of f(x)=(5x)/(2x-6) ?
The asymptotes of f(x)=(5x)/(2x-6) is Vertical: x=3,Horizontal: y= 5/2