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If f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2...

If `f.R rarr R,f(x)=(x^(2)+bx+1)/(x^(2)+2x+b),(b gt 1) " and " f(x), 1/f(x)` have the same bounded set as their range, the value of b is

A

`2sqrt(3)-2`

B

`2sqrt(3)+2`

C

`2sqrt(2)-2`

D

`2sqrt(2)+2`

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The correct Answer is:
A
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