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Let f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)2...

Let `f(x)={x^3-x^2+10 x-5,xlt=1-2x+(log)_2(b^2-2),x >1` Find the values of `b` for which `f(x)` has the greatest value at `x=1.`

A

`1ltble2`

B

`b={12}`

C

`b in(-oo,-1)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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