Let f(x)=x^2a n dg(x)=sinxfora l lx in ...

Let `f(x)=x^2a n dg(x)=sinxfora l lx in Rdot` Then the set of all `x` satisfying `(fogogof)(x)=(gogof)(x),w h e r e(fog)(x)=f(g(x)),` is

A

1) `pm sqrt(npi) , n in {0,1,2,…}`

B

2) `pm sqrt(npi) , n in {1,2,…}`

C

3) `pi/2 + 2 n pi, n in {…, -2 -1, 0,1,2…}`

D

4) `2 npi , n in {…, -1 -1 , 0,1,2…}`

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The correct Answer is:

A

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