If g(f(x))= |sinx | and f(g(x))=(sin sqr...

If `g(f(x))= |sinx |` and `f(g(x))=(sin sqrt(x))^(2)`, then

A

`f(x)=sin^(2)x, g(x)=sqrt(x)`

B

`f(x)=sin x, g(x)=|x|`

C

`f(x)=x^(2), g(x)= sin sqrt(x)`

D

f and g cannot be determined

Verified by Experts

The correct Answer is:

A

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