Functions

Section: Mathematics

Question : 24 of 30

Marks: +1, -0

Let f (x) = x2 and g(x) = sin x for all x ∈ R. Then the set of all x satisfying (f o g o g o f) (x) = (g o g o f) (x), where (f o g) (x) = f (g (x)), is

[JEE Adv 2011 P2]

±√nπ , n ∊ {0 , 1 , 2 , ....}
±√nπ , n ∊ {1 , 2 , ....}
π
2
+2nπ, n ∊ {..., - 2 , - 1 , 0 , 1 , 2 , ...}
2nπ, n ∊ {... , - 2 , - 1 , 0 , 1 , 2 , ...}

Validate

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