Let \( a \) be a positive real number and \( f: \mathbb{R} \rightarrow \mathbb{R} \) a function ....

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Let \( a \) be a positive real number and \( f: \mathbb{R} \rightarrow \mathbb{R} \) a
\( \mathrm{P} \)
function such that
W
\( f(x+a)=1+\sqrt{2 f(x)-f^{2}(x)} \) for all \( x \in \mathbb{R} \) Then a period of \( f \) is
(1) \( 2 a \)
(2) \( 3 a \)
(3) \( 4 a \)
(4) \( 5 a \)


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