If \( a, b \) be two fixed positive integers such that for all \( \...

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If \( a, b \) be two fixed positive integers such that for all
\( \mathrm{P} \)
real \( x \).
W
\[
f(a+x)=b+\left(1+b^{3}-3 b^{2}(f(x))+3 b(f(x))^{2}-(f(x))^{3}\right)^{\frac{1}{3}},
\]
then \( f(x) \) is a periodic function with period
(1) \( a \)
(2) \( 2 a \)
(3) \( b \)
(4) \( 2 b \)
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