What is the domain of f(x)=sqrt(5+ln(x)) ?

The domain of f(x)=sqrt(5+ln(x)) is x>= 1/(e^5)

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domain of f(x)=sqrt(5+ln(x))

domain

f (x) = 5 + ln (x)

x \geq \frac{1}{e ^{5}}

Interval Notation

[\frac{1}{e ^{5}}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{1}{e ^{5}}

The function domain

x \geq \frac{1}{e ^{5}}

What is the domain of f(x)=sqrt(5+ln(x)) ?
The domain of f(x)=sqrt(5+ln(x)) is x>= 1/(e^5)