If $f: R \rightarrow R$ and $g: R^{+} \rightarrow R$ are such that $g\{f(x)\}=|\sin x|$ and $f\{g(x)\}=(\sin \sqrt{x})^2$, then a possible choice for $f$ and $g$ is
- A$f(x)=x^2, g(x)=\sin \sqrt{x}$
- B$f(x)=\sin x, g(x)=|x|$
- C$f(x)=\sin ^2 x, g(x)=\sqrt{x}$
- D$f(x)=x^2, g(x)=\sqrt{x}$
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