What is the asymptotes of f(x)=(x+5)/((x+2)(x-3)) ?

The asymptotes of f(x)=(x+5)/((x+2)(x-3)) is Vertical: x=-2,x=3,Horizontal: y=0

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asymptotes of f(x)=(x+5)/((x+2)(x-3))

asymptotes

f (x) = \frac{x + 5}{( x + 2 ) ( x - 3 )}

Vertical : x = - 2, x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x + 5}{( x + 2 ) ( x - 3 )} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{x + 5}{( x + 2 ) ( x - 3 )} : y = 0

Slant Asymptotes of

\frac{x + 5}{( x + 2 ) ( x - 3 )} :

None

Vertical : x = - 2, x = 3, Horizontal : y = 0

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

f (x) = \frac{- 2 x ^{2} + 3 x + 2}{- x + 7}

\frac{3 x - x ^{3}}{( x - 2 ) ^{2}}

f (x) = \frac{2 x ^{2}}{2 x - 8}

y = (x + 2)

What is the asymptotes of f(x)=(x+5)/((x+2)(x-3)) ?
The asymptotes of f(x)=(x+5)/((x+2)(x-3)) is Vertical: x=-2,x=3,Horizontal: y=0