What is the asymptotes of f(x)=(x+12)/(x^2-2x-24) ?

The asymptotes of f(x)=(x+12)/(x^2-2x-24) is Vertical: x=-4,x=6,Horizontal: y=0

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asymptotes of f(x)=(x+12)/(x^2-2x-24)

asymptotes

f (x) = \frac{x + 12}{x ^{2} - 2 x - 24}

Vertical : x = - 4, x = 6, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x + 12}{x ^{2} - 2 x - 24} : x = - 4, x = 6

Horizontal Asymptotes of

\frac{x + 12}{x ^{2} - 2 x - 24} : y = 0

Slant Asymptotes of

\frac{x + 12}{x ^{2} - 2 x - 24} :

None

Vertical : x = - 4, x = 6, Horizontal : y = 0

f (x) = \frac{( x - 5 )}{( x + 5 ) ( x - 10 )}

f (x) = \frac{1}{x + 5} + 2

\frac{9 - 4 x ^{2} - 2 x ^{3}}{x ^{2} - 3}

f (x) = \frac{4}{( x ^{2} - 9 )}

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

What is the asymptotes of f(x)=(x+12)/(x^2-2x-24) ?
The asymptotes of f(x)=(x+12)/(x^2-2x-24) is Vertical: x=-4,x=6,Horizontal: y=0