Find the product of all numbers belonging to the domain of function \[ f(x)=\sqrt{-x^{2}+11 x-24...

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Find the product of all numbers belonging to the domain of function
\[
f(x)=\sqrt{-x^{2}+11 x-24}+\sqrt{\log _{2}(\cos \pi x)}
\]
(a) 192
(b) 48
(c) 384
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