If \(f(x)=\left\{\begin{matrix} \rm 2+2x,-1\le x < 0 \\\ \rm 1-\frac{x}{3}, 0 \le x \le 3 \end {matrix}\right.\)\(g(x)=\left\{\begin{matrix} \rm -x, -3 \le x \le 0 \\\ \rm x, 0 < x \le 1 \end {matrix}\right.\), then range of (fog(x)) is

1
(0, 1]
2
(0, 3]
3
[0, 1]
4
[0, 1)

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