A real valued function f(x) satisfies the relation `3f(x)-f((x+2)/(x-1))=4x` , `x !=1`, then f(0) is equal to

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

If a function f(x) satisfies the relation 3f(x)-5f((2)/(x))=3-x+x^(2)AA x in R-{0} ,then the value of f(1) is equal to

A real valued function satisfies the relation f(x+y)=f(x)+f(y)+(e^x-1)(e^y-1) , AAx,y in R . If f'(0) = 2, find f(x).

Let f:R-{3}rarr R be a real valued function satisfying the functional equation 3f(x)+2f((3x+5)/(x-3))=4x+2 Then f(x) is given as

The function f, g and h satisfy the relations f'(x)=g(x+1)andg'(x)=h(x-1) . Then, f''(2x) is equal to

A real valued function f(x) satisfies the functional equation f(x-y) = f(x) f(y) - f(a-x) f(a+y) , where a is a given constant and f(0)=1 , f(2a-x) =?

A real valued function f(x) satisfies the functional equation f(x-y) = f(x) f(y) - f(a-x) f(a+y) , where a is a given constant and f(0)=1 , f(2a-x) =?

A real valued function f (x) satisfied the functional relation f (x-y)=f (x)f(y) -f(a-x) f(a+y) where a is a given constant and f(0) =1. Then f (2a-x) is equal to-

If f (x) satisfies the relation 2 f(x ) + f(1-x) =x^2 for all real x, then f (x) is