Let f(x)=x^3-3x^2+6AAx in R and g(x)={m...

Let `f(x)=x^3-3x^2+6AAx in R` and `g(x)={m a x :f(t ; x+1lt=tlt=x+2,-3lt=xlt=0 1-x ,xgeq` .Find continuity and differentiability of g(x) for x in [-3,1]

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