What is the asymptotes of f(x)=(x^2-x-6)/(x-5) ?

The asymptotes of f(x)=(x^2-x-6)/(x-5) is Vertical: x=5,Slant: y=x+4

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asymptotes of f(x)=(x^2-x-6)/(x-5)

asymptotes

f (x) = \frac{x ^{2} - x - 6}{x - 5}

Vertical : x = 5, Slant : y = x + 4

Solution steps

Vertical asymptotes of

\frac{x ^{2} - x - 6}{x - 5} : x = 5

Horizontal Asymptotes of

\frac{x ^{2} - x - 6}{x - 5} :

None

Slant Asymptotes of

\frac{x ^{2} - x - 6}{x - 5} : y = x + 4

Vertical : x = 5, Slant : y = x + 4

f (x) = - 4 ln (x + 1)

\frac{x + 1}{- x - 1}

f (x) = \frac{x ^{2} - 8 x + 7}{3 x - 21}

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

\frac{x ^{2}}{x ^{2} + 3}

What is the asymptotes of f(x)=(x^2-x-6)/(x-5) ?
The asymptotes of f(x)=(x^2-x-6)/(x-5) is Vertical: x=5,Slant: y=x+4