What is the domain of x/(ln(x)) ?

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domain of x/(ln(x))

domain

\frac{x}{ln ( x )}

0 < x < 1 or x > 1

Interval Notation

(0, 1) \cup (1, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 < x < 1 or x > 1

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

\frac{x ^{2} - 64}{x ^{2} - 1}

y = 2 sin (2 x)

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

ln (2 - x)