Question

use the given function f to answer parts (a) through (f).
f(x)=2 + \ln x

(a) find the domain of f.
the domain of f is
(type your answer in interval notation.)

Explanation:

Step1: Recall domain of natural log

The natural logarithm function $\ln x$ is defined only for $x > 0$.

Step2: Determine domain of $f(x)$

For the function $f(x)=2 + \ln x$, the only restriction comes from the $\ln x$ term. So $x$ must be greater than 0. In interval notation, this is $(0, \infty)$.

Answer:

$(0, \infty)$