What is the domain of (x^2-2x)/((x-1)^2) ?

The domain of (x^2-2x)/((x-1)^2) is x 1

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domain of (x^2-2x)/((x-1)^2)

domain

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

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = ln (- 3 x + 2)

y = 2 x - 3

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

2 x^{2} + 3 x \cdot (- 3 x + 4)

\frac{- 2}{x - 4} + 3

What is the domain of (x^2-2x)/((x-1)^2) ?
The domain of (x^2-2x)/((x-1)^2) is x<1\lor x>1