For any function which satisfies the relation `f(x)+f(1-x)=1`, find the value of `sum_(i=1)^(2006)f((i)/(2007))`

Let f(x) be a function which satisfies the relation f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1 AA x in R then value of [f(0)] is

" Let "f(x)" be a function which satisfies the relation "f(x+1)+f(2x+2)+f(1-x)+f(2+x)=x+1AA x in R" then value of "[f(0)|" is "

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

Let f be a function satisfying the functional equation f(x)+2f((2x+1)/(x-2))=3x,x!=2 then find the value of |(f(3))/(f(7))|

If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0 , then find the value of int_(0)^(a)(dx)/(1+f(x)) .

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x), then find the period of f(x)

A continuous function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt then f(1)=

A Function f(x) satisfies the relation f(x)=e^(x)+int_(0)^(1)e^(x)f(t)dt* Then (a)f(0) 0

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