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Let f (x) and g (x) be two differentiabl...

Let `f (x) and g (x)` be two differentiable functions, defined as:
`f (x)^(2)=x ^(2) +xg'(1)+g'' (2) and g (x)= f(1)x^(2) +x f' (x)+ f''(x).`
The number of integers in the domain of the function `F(x)= sqrt(-(f(x))/(g (x)))+sqrt(3-x)` is:

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