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Let f(x) = {(x^(3) - x^(2) + 10x - 5",",...

Let `f(x) = {(x^(3) - x^(2) + 10x - 5",", x le 1),(-2x + log_(2)(b^(2) - 2)",",x gt 1):}` find the values of b for which f(x) has the greatest value at x = 1.

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The correct Answer is:
`b in [-sqrt(130), -sqrt(2)] cup[sqrt(2), sqrt(130)]`
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