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

The asymptotes of f(x)=(x^2-x-2)/(x-2) is Slant: y=x+1

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

asymptotes

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

Slant : y = x + 1

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Slant : y = x + 1

\frac{3}{4} x + 7

y = \frac{( - 3 x - 7 )}{( x - 1 )}

(- 1, - 5), (2, 1)

f (x) = - 2 x - 2 + 6

3 x + 15

What is the asymptotes of f(x)=(x^2-x-2)/(x-2) ?
The asymptotes of f(x)=(x^2-x-2)/(x-2) is Slant: y=x+1