What is the domain of f(x)=(2x-ln(3x))/x ?

The domain of f(x)=(2x-ln(3x))/x is x>0

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domain of f(x)=(2x-ln(3x))/x

domain

f (x) = \frac{2 x - ln ( 3 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) = - 4 x + 12 y g (x) = 3 x^{2} - 8

f (x) = \frac{x + 6}{x ^{2} - 64}

f (x) = \frac{3 x - 9}{x ^{2} - 6 x - 7}

f (x) = lo g_{2} (8 - \frac{7 - 2 x}{3})

What is the domain of f(x)=(2x-ln(3x))/x ?
The domain of f(x)=(2x-ln(3x))/x is x>0