Answer
please see image
Work Step by Step
1. Start by sketching $f_{1}(x)=\ln x$
2. $f(x)=f_{1}(|x|)=\ln|x|$
(mirror the graph of $f_{1}$ over the y-axis,
keeping the original)
Its domain is$:$ x$\in \mathbb{R},\ x\neq 0.$
(screenshot included)