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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 number of roots of the equation g(x)= 1 is

A

2

B

1

C

3

D

0

Text Solution

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The correct Answer is:
D
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