What is the asymptotes of f(x)=(x^2-9)/(x-5) ?

The asymptotes of f(x)=(x^2-9)/(x-5) is Vertical: x=5,Slant: y=x+5

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asymptotes of f(x)=(x^2-9)/(x-5)

asymptotes

f (x) = \frac{x ^{2} - 9}{x - 5}

Vertical : x = 5, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 9}{x - 5} : x = 5

Horizontal Asymptotes of

\frac{x ^{2} - 9}{x - 5} :

None

Slant Asymptotes of

\frac{x ^{2} - 9}{x - 5} : y = x + 5

Vertical : x = 5, Slant : y = x + 5

f (x) = \frac{x}{x ( x + 4 )}

x^{3} - 27 x + 50

f (x) = 9 x - 8

f (x) = \frac{2}{3} x + 6

y = (x - 4) (x + 5)

What is the asymptotes of f(x)=(x^2-9)/(x-5) ?
The asymptotes of f(x)=(x^2-9)/(x-5) is Vertical: x=5,Slant: y=x+5