A function `f(x)` satisfies the functional equation `x^2f(x)+f(1-x)=2x-x^4` for all real `x. f(x)` must be

A function f(x) satisfies the functional equation x^(2)f(x)+f(1-x)=2x-x^(4) for all real x.f(x) must be

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 3f(x)+2f((x+59)/(x-1))=10x+30 for all real x != 1 , then the value of f(7) is

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

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

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) =?

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-

A function f:R rarr R satisfies the condition x^(2)f(x)+f(1-x)=2x-x^(4). Then f(x) is