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Consider three real-valued functions f,...

Consider three real-valued functions `f,g and h` defined on `R` (the set of real numbers).Let `f(x) = 2x^3 +3(1- (3a)/2)x^2 + 3(a^2 - a) x +b` where `a, b in R and g(x)=(f'(x))/6` .The true set of values of a for which `f(x)` has negative point of local minimum, is

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