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If $f(x)=\sin ^2 x$ and the composite function $g\{f(x)\}=\sin x \mid$, then the function $g(x)$ is equal to
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The correct answer is:
$\sqrt{x}$
$\begin{aligned} & (g \circ f)(x)=|\sin x| \text { and } f(x)=\sin ^2 x \\ & \Rightarrow g\left(\sin ^2 x\right)=|\sin x| ; \therefore g(x)=\sqrt{x}\end{aligned}$
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