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

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

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

domain

f (x) = \frac{1}{x} + ln (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{8 x}{9 - 2 x}

f (x) = \frac{x}{x ^{2} + 3 x + 5}

+ X^{3}

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

f (x) = \frac{3 x}{( x - 2 ) ( x + 4 )}