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"Let "f(x) ={underset(-2x + log(2) (b^(2...

`"Let "f(x) ={underset(-2x + log_(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 x-5 , x le 1).` The set of values of b for which f(x) has greatest value at x= 1 is given by .

A

` 1 le b le 2`

B

`b={1,2}`

C

`b in (-oo,-1)`

D

`[-sqrt(130), -sqrt(2)) uu(sqrt(2), sqrt(130)]`

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The correct Answer is:
D
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