If \( (f(x))^{2} \times f\left(\frac{1-x}{1+x}\right)=64 x, x \neq ...
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If \( (f(x))^{2} \times f\left(\frac{1-x}{1+x}\right)=64 x, x \neq 0,1 \), then :
\( f(x) \) is equal to:
\[
\begin{array}{ll}
x^{2 / 3}\left(\frac{1-x}{1+x}\right)^{1 / 3} & 4 x^{2 / 3}\left(\frac{1+x}{1-x}\right)^{1 / 3} \\
x^{1 / 3}\left(\frac{1-x}{1+x}\right)^{1 / 3} & x\left(\frac{1+x}{1-x}\right)^{1 / 3} .
\end{array}
\]
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