What is the asymptotes of f(x)=(4x+1)/((x+3)(x-5)) ?

The asymptotes of f(x)=(4x+1)/((x+3)(x-5)) is Vertical: x=-3,x=5,Horizontal: y=0

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asymptotes of f(x)=(4x+1)/((x+3)(x-5))

asymptotes

f (x) = \frac{4 x + 1}{( x + 3 ) ( x - 5 )}

Vertical : x = - 3, x = 5, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{4 x + 1}{( x + 3 ) ( x - 5 )} : x = - 3, x = 5

Horizontal Asymptotes of

\frac{4 x + 1}{( x + 3 ) ( x - 5 )} : y = 0

Slant Asymptotes of

\frac{4 x + 1}{( x + 3 ) ( x - 5 )} :

None

Vertical : x = - 3, x = 5, Horizontal : y = 0

5 x + 3 y = 3

y = \frac{x ^{2} + x + 1}{2 x ^{2} + 1}

\frac{1}{x} - 3 x

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

What is the asymptotes of f(x)=(4x+1)/((x+3)(x-5)) ?
The asymptotes of f(x)=(4x+1)/((x+3)(x-5)) is Vertical: x=-3,x=5,Horizontal: y=0