Consider the function f(x) satisfyig the identity `f(x)+f((x-1)/x)=1+x, AA x in R-{0,1}` and `g(x)=2f(x)-x+1`

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

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

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 =?

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

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

Find all functions f satisfying the identity, f(x)+f((x-1)/x)=1+x,AA x inR-{0,1}

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=

The function f (x) satisfy the equation f (1-x)+ 2f (x) =3x AA x in R, then f (0)=