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Let a function g : [0,4] to R be define...

Let a function `g : [0,4] to R` be defined as `g (x) ={{:(max,),(0 le t lex,{t ^(3) - 6t ^(3) + 9t -3}"," 0 le x le 3),(4-x, 3 lt x le 4):}`
then the number of points in the interval (0,4) where g(x) is NOT differentiable, is _____________.

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