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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) `+-sqrt(npi),n in {0,1,2, dot}` (b)`+-sqrt(npi),n in {1,2, dot}` (c) `pi/2+2npi,n in { ,-2,-1,0,1,2}` (d) `2npi,n in { ,-2,-1,0,1,2, }`

A

`pm sqrt(n pi), n in (0,1,2,3....)`

B

`pm sqrt(npi), n in {1,2....}`

C

`2npi, n in {....,-2,-1,0,1,2,.....}`

D

`pm sqrt(npi), n in {1,2,3,4,....}`

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