`f (x) ` satisfies the equation`(x-1) f ((x+1)/(x-1))-f(x)=x, AAx != 1.` Find all such functions.

f(x) = log((1+x)/(1-x)) satisfies the equation: f(x_(1)) +f(x_(2))

The function f(x) satisfies the equation f(x + 1) + f(x-1) = sqrt3 f(x) . then the period of f(x) is

A function f: RrarrR satisfies the equation f(x) f(y) - f(xy) = x+ y, AAx,y in R and f(1) gt 0 , then

The function f satisfies the function equation 3f(x) +2f ((x+59)/(x-1))=10 x +30 for all x ne 1. Then the value of f (7) is-

The function f(x) satisfies the equation f(x+1)+f(x-1)=sqrt(3)f(x) .then the period of f(x) is

If f(x) satisfies the functional equation x^(2).f(x)+f(1-x)=2x-x^(4) , then f(1/3)=

The function f Satisfies the functional equation 3 f (x) +2f ((x+59 )/(x-1))=10 x +30 for all real x ne 1 . The value of f (7) is

If the function f(x) satisfies the relation f(x+y)=y(|x-1|)/((x-1))f(x)+f(y) with f(1)=2. then lim_(x rarr1)f'(x) is