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

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

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

domain

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

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}{1 + \frac{1}{1 + \frac{1}{x}}}

x^{2} + 14 x + 47

f (x) = ln (3 x - 1)

f (x) = 2 5^{x}

\frac{9 x}{8 x - 3}

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