Do you know its property? 10

Geometry Level 5

If f(x)=sin2xf(x)=\sin^2x and g(x)={x}g(x)=\{ x \} are real-valued functions, then which of the followings are true :

A. Period of f[g(x)]f[g(x)] will be 22.

B. Fundamental Period of g[f(x)]g[f(x)] will be π\pi.

C. Period of f[g(x)]+g[f(x)]f[g(x)]+g[f(x)] will be π\pi.

D. Period of f[g(x)]+g[f(x)]f[g(x)]+g[f(x)] will be 11.

E. f[g(x)]+g[f(x)]f[g(x)]+g[f(x)] is periodic. But its fundamental period is not defined.

Details: {..}\{..\} denotes Fractional Function.

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