If `f,g:R->R` be two functions defined as `f(x)=|x|+x` and `g(x)=|x|-x`. Find `fog` and `gof`. Hence find `fog(-3)`, `fog(5)` and `gof(-2)`.

Explanation

To solve the problem, we need to find the compositions of the functions \( f \) and \( g \), defined as follows:

- \( f(x) = |x| + x \)
- \( g(x) = |x| - x \)

### Step 1: Find \( f(g(x)) \)

To find \( f(g(x)) \), we first need to substitute \( g(x) \) into \( f(x) \).
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