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

The domain of f(x)=sqrt(1/x-1) is 0<x<= 1

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

domain

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

0 < x \leq 1

Interval Notation

(0, 1]

Solution steps

Find non-negative values for radicals:

0 < x \leq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 1

f (x) = \frac{1}{x ^{2} - 7}

f (x) = x^{2} - 5 x + 1

f (x) = \frac{x - 3}{x ^{2} - 9}

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

6 x - 12

What is the domain of f(x)=sqrt(1/x-1) ?
The domain of f(x)=sqrt(1/x-1) is 0<x<= 1