What is the asymptotes of f(x)=(x^2+8)/(x^2-4x-21) ?

The asymptotes of f(x)=(x^2+8)/(x^2-4x-21) is Vertical: x=-3,x=7,Horizontal: y=1

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asymptotes of f(x)=(x^2+8)/(x^2-4x-21)

asymptotes

f (x) = \frac{x ^{2} + 8}{x ^{2} - 4 x - 21}

Vertical : x = - 3, x = 7, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 8}{x ^{2} - 4 x - 21} : x = - 3, x = 7

Horizontal Asymptotes of

\frac{x ^{2} + 8}{x ^{2} - 4 x - 21} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 8}{x ^{2} - 4 x - 21} :

None

Vertical : x = - 3, x = 7, Horizontal : y = 1

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

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

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

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

y = - 2 sec (\frac{2}{3} x)

What is the asymptotes of f(x)=(x^2+8)/(x^2-4x-21) ?
The asymptotes of f(x)=(x^2+8)/(x^2-4x-21) is Vertical: x=-3,x=7,Horizontal: y=1