What is the domain of (sqrt(x^2-2x+1))/(x-1),x<1 ?

The domain of (sqrt(x^2-2x+1))/(x-1),x<1 is x<1

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domain of (sqrt(x^2-2x+1))/(x-1),x<1

domain

\frac{x ^{2} - 2 x + 1}{x - 1}, x < 1

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Set the domain to the given interval

x < 1

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

No real undefined points

Join with the domain:

(x < 1 or x > 1) and x < 1

x < 1

f (x) = 2 - x - 2

y = \frac{4}{2 x - 1}

f (x) = 2 x^{3} + 9 x^{2} + 10

f (x) = 3 sin (2 x - \frac{π}{3})

f (x) = 2 x^{3} + 3 x^{2} + 8 x + 12

What is the domain of (sqrt(x^2-2x+1))/(x-1),x<1 ?
The domain of (sqrt(x^2-2x+1))/(x-1),x<1 is x<1