Let `f(x)` be defined on `[-2,2]` and be given by
`f(x)={(-1",",-2 le x le 0),(x-1",",0 lt x le 2):} and g(x)=f(|x|) +|f(x)|`.
Then find `g(x)`.

Explanation

To find the function \( g(x) = f(|x|) + |f(x)| \) given the piecewise function \( f(x) \), we will follow these steps:

### Step 1: Define the function \( f(x) \)
The function \( f(x) \) is defined as follows:
\[
f(x) =
\begin{cases}
-1 & \text{if } -2 \leq x \leq 0 \\
...