Let \( A=\{x \in R: x \leq 1\} \) and \( f: A \rightarrow A \) be defined as \( f(x)=x(2-x) \). ...
Let \( A=\{x \in R: x \leq 1\} \) and \( f: A \rightarrow A \) be defined as \( f(x)=x(2-x) \). Then, \( f^{-1}(x) \) is
(A) \( 1+\sqrt{1-x} \)
(B) \( 1-\sqrt{1-x} \)
(C) \( \sqrt{1-x} \)
(D) \( 1 \pm \sqrt{1-x} \)
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