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let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) i...

let `f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2)` if `x` is `0` to `1` and `f(x)=2x-3` if `x` if `1` to `3`.All possible real values of `b` such that `f (x)` has the smallest value at `x=1` are

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