What is the domain of (ln(2x))/x ?

The domain of (ln(2x))/x is x>0

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domain of (ln(2x))/x

domain

\frac{ln ( 2 x )}{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 (x) = \frac{1}{9 + x}

f (x) = 5 x + 25

y = x^{4} - 4 x^{3} + \frac{14}{3} x^{2} - \frac{9}{7} x + 2

\frac{7 x + 9}{x ^{3} + 8}

f (x) = - (x - 6)^{2} + 2