What is the asymptotes of f(x)=((x-1)^3)/(x^2-2x) ?

The asymptotes of f(x)=((x-1)^3)/(x^2-2x) is Vertical: x=0,x=2,Slant: y=x-1

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asymptotes of f(x)=((x-1)^3)/(x^2-2x)

asymptotes

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

Vertical : x = 0, x = 2, Slant : y = x - 1

Solution steps

Vertical asymptotes of

\frac{( x - 1 ) ^{3}}{x ^{2} - 2 x} : x = 0, x = 2

Horizontal Asymptotes of

\frac{( x - 1 ) ^{3}}{x ^{2} - 2 x} :

None

Slant Asymptotes of

\frac{( x - 1 ) ^{3}}{x ^{2} - 2 x} : y = x - 1

Vertical : x = 0, x = 2, Slant : y = x - 1

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

18 x^{2} - 9 x^{4}

9 x^{3} - 3 x

f (x) = lo g_{3} (x - 3)

\frac{x ^{2} - 81}{x - 9}

What is the asymptotes of f(x)=((x-1)^3)/(x^2-2x) ?
The asymptotes of f(x)=((x-1)^3)/(x^2-2x) is Vertical: x=0,x=2,Slant: y=x-1