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There exist function $f(x)$ such that $\forall x \in \mathbb R$, the property follows:

$A.\ f(\sin 2x)=\sin x$

$B.\ f(\sin 2x)=x^2+x$

$C.\ f(x^2+1)=|x+1|$

$D.\ f(x^2+2x)=|x+1|$

Have a look at my problem set: SAT 1000 problems

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