1.
f:[2,2][2,2]f : [-2, 2] \to [-2, 2] and g:[2,2][0,4]g : [-2, 2] \to [0, 4] are two functions defined as f(x)={2,2x0x22,0<x2f(x) = \begin{cases} -2, & -2 \le x \le 0 \\ x^2 - 2, & 0 < x \le 2 \end{cases} and g(x)=f(x)+f(x)g(x) = |f(x)| + f(|x|), then