Find Period of the given function \[ f(x+a)=\frac{1}{2}+\sqrt{f(x)-f^{2}(x)}, a0, \quad f(x) \ge...

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Find Period of the given function
\[
f(x+a)=\frac{1}{2}+\sqrt{f(x)-f^{2}(x)}, a0, \quad f(x) \geq \frac{1}{2}
\]
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