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

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

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domain of f(x)=(x-ln(2x))/x

domain

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

\frac{3}{x - 2} + 2

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

y = 3 - x

f (x) = lo g_{10} (5 x + 35)

What is the domain of f(x)=(x-ln(2x))/x ?
The domain of f(x)=(x-ln(2x))/x is x>0