Let f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued functions over R.

Which of the following statements are correct ?

1. (fog)(x) = f(g(x)).

2.(gof)(x) = g(f(x)).

3.(fog)(x) = g(f(x)) only when x = 0.

4.(fog)(x) can take only three values.

Select the correct answer using the code given below :

Mathematics 2016 NDA Mathematics 2016 NDA 2016

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