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

The domain of sqrt(1/(x-1)-1) is 1<x<= 2

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domain of sqrt(1/(x-1)-1)

domain

\frac{1}{x - 1} - 1

1 < x \leq 2

Interval Notation

Solution steps

Find non-negative values for radicals:

1 < x \leq 2

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

1 < x \leq 2

f (x) = \frac{x ^{3} - 2 x ^{2} - 3 x}{2 x ^{2} - x - 6}

f (x) = (x + 3)^{2} + (y + 6)^{2} = 16

f (x) = \frac{x ^{2} + 2 x - 8}{x + 2}

f (x) = ln ∣ x - 1 ∣

f (x) = \frac{1}{5 - x}

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