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

The domain of f(x)=sqrt(1/(x-1)) is x>1

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

domain

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

x > 1

Interval Notation

(1, \infty)

Solution steps

Find non-negative values for radicals:

x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

y = x^{2} + x + 1

- 8 x + 6

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

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

f (x) = 2 ln (1 + x^{2})

What is the domain of f(x)=sqrt(1/(x-1)) ?
The domain of f(x)=sqrt(1/(x-1)) is x>1