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Mathematics
Problem
Check whether the function defined by
f
(
x
+
λ
)
=
1
+
2
f
(
x
)
−
f
2
(
x
)
f(x+\lambda) = 1 + \sqrt{2f(x) - f^2(x)}
f
(
x
+
λ
)
=
1
+
2
f
(
x
)
−
f
2
(
x
)
,
∀
x
∈
R
\forall x \in \mathbb{R}
∀
x
∈
R
is periodic or not, if periodic then find its period.
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