What is the asymptotes of (5x)/(-2x-4) ?

The asymptotes of (5x)/(-2x-4) is Vertical: x=-2,Horizontal: y=-5/2

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asymptotes of (5x)/(-2x-4)

asymptotes

\frac{5 x}{- 2 x - 4}

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

Solution steps

Vertical asymptotes of

\frac{5 x}{- 2 x - 4} : x = - 2

Horizontal Asymptotes of

\frac{5 x}{- 2 x - 4} : y = - \frac{5}{2}

Slant Asymptotes of

\frac{5 x}{- 2 x - 4} :

None

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

f (x) = \frac{2 x ^{2} + x + 1}{4 x ^{2} + 16}

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

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

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

\frac{x ^{2} + 2 x - 3}{( x - 1 ) ( x ^{2} - 4 )}

What is the asymptotes of (5x)/(-2x-4) ?
The asymptotes of (5x)/(-2x-4) is Vertical: x=-2,Horizontal: y=-5/2