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

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

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domain of f(x)=e^x+ln(x)-1/x

domain

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

- 3 (2 x + 5) + 9

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

ln (1 + ln (x))

f (x) = \frac{x ^{2} + x - 38}{x ^{2} - 25}

What is the domain of f(x)=e^x+ln(x)-1/x ?
The domain of f(x)=e^x+ln(x)-1/x is x>0