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

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

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

domain

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

x > 0

Interval Notation

(0, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

f (v) = 1 + \frac{7}{x}

f (x) = \frac{1}{2 x - 4}

\frac{x - 2}{x ^{2} - x}

f (x) = \frac{3 sin ( x )}{sin ( 2 x ) + 1}

\frac{x + 6}{x ^{2} - 9}