Find function f(x) satisfying `f(x)+f(1/(1-x))=(2(1-2x))/(x(1-x))AAx in R-{0, 1}`

Find function f(x) satisfying f(x)+f((1)/(1-x))=(2(1-2x))/(x(1-x))AA x in R-{0,1}

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

For x in R-{1}, the function f(x) satisfies f(x)+2f((1)/(1-x))=x. Find f(2)

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/((x+1)),AAx >-1. If f(0)=5, then f(x) is

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=((e^x)^2)/((x+1)),AAx >-1. If f(0)=5, then f(x) is

A function y=f(x) satisfies (x+1)f^(prime)(x)-2(x^2+x)f(x)=(e^x^2)/((x+1)),AAx > -1. If f(0)=5, then f(x) is

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

Let a function f(x) satisfies f(x)+f(2x)+f(2-x)+f(1+x)=x ,AAx in Rdot Then find the value of f(0)dot

Let f :R to R be a differentiable function satisfying: f (xy) =(f(x))/(y)+f(y)/(x) AAx, y in R ^(+) also f (1)=0,f '(1) =1 find lim _(x to e) [(1)/(f (x))] (where [.] denotes greatest integer function).