The function \( \mathrm{f}: \mathrm{R}-\{0,1\} \rightarrow \mathrm{R} \) satisfying the function....

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The function \( \mathrm{f}: \mathrm{R}-\{0,1\} \rightarrow \mathrm{R} \) satisfying the
P
functional relation \( f(x)+f\left(\frac{1}{1-x}\right)=\frac{2(1-2 x)}{x(1-x)} \) is
(A) \( f(x)=\frac{x-1}{x+1} \)
(B) \( f(x)=\frac{1-x}{1+x} \)
(C) \( f(x)=\frac{x+1}{x-1} \)
(D) \( f(x)=\frac{1+x}{1-x} \)


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