`"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)]`
