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Suppose f(x) is a function satisfying th...

Suppose f(x) is a function satisfying the folowing conditions:
(i)f(0)=2,f(1)=1
(ii) f(x) has a minimum value at `x=(5)/(2)`
(iii) for all xf'(x)= `|{:(2ax,2ax-1,2ax+b+1),(b,b+1,-1),(2(ax+b),2ax+2b+1,2ax+b):}|`
The number of solutions of the equation f(x) +1=0 is

A

`(-oo,(7)/(16)]`

B

`[(3)/(4),oo)`

C

`[(7)/(16),oo)`

D

`(-oo,(3)/(4)]`

Text Solution

Verified by Experts

The correct Answer is:
C
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