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Let f(x)=x^(2) and g(x)= sin x for all x...

Let `f(x)=x^(2)` and `g(x)= sin x` for all `x in R`. Then the set of all x satisfying `(fogogof)(x)=(gogof)(x)`, where `(fog)(x)=f(g(x))`, is

A

`+-sqrt(npi), n in {0,1,2,……….}`

B

`+-sqrt(npi), n in {1,2,……..}`

C

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

D

`2n pi , n in {………-2,-1,0,1,2,……}`

Text Solution

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The correct Answer is:
A
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