What is the asymptotes of f(x)=(x^2-4x+5)/(x-2) ?

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

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asymptotes of f(x)=(x^2-4x+5)/(x-2)

asymptotes

f (x) = \frac{x ^{2} - 4 x + 5}{x - 2}

Vertical : x = 2, Slant : y = x - 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 2, Slant : y = x - 2

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

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

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

f (x) = \frac{( x ^{4} - 9 x ^{2} )}{x + 1}

sin (0)

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