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Consider the function f(x) satisfying th...

Consider the function f(x) satisfying the identity ` f(x) + f((x-1)/( x)) = 1+ x AA x in R - {0,1} ` , and g(x) =2f ( x)- x+1
The domain of `y = sqrt( g(x) ) ` is

A

`(-oo, (1-sqrt(5))/(2)]uu[1, (1+sqrt(5))/(2)]`

B

`(-oo, (1-sqrt(5))/(2)]uu(0, 1) uu[(1+sqrt(5))/(2), oo)`

C

`[(1-sqrt(5))/(2), 0] uu [(1+sqrt(5))/(2), 1]`

D

`[(1-sqrt(5))/(2), (1+sqrt(5))/(2)]`

Text Solution

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The correct Answer is:
B
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