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If f(x) = ⎪ ⎩ ⎪ ⎨ ⎧ ≤ ≤ < ≤ + 3 x 0 , 3 x – 1 0 x 1 – , x 2 2 ; g(x) = ⎩ ⎨ ⎧ ≤ < ≤ ≤ − 1 x 0 , x 0 x 3 – , x , then range of (fog)(x) is-

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

Correct answer: [0, 1]

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