`f(x)+f(1-1/x)=1+x ` for `x in R-{0,1}.` Find the value of `4f(2).`

If f'(x) = 1/x + x^2 and f(1)=4/3 then find the value of f(x)

f(x)=x,x in Q and f(x)=1-x,x in R-Q Then find the value of [f(1)]+|(f(e))]|

If f(x)=4x-x^2 for all x in R , then the value of f(a+1)-f(a-1) is:

f(x)= x^(2)-3x + 4 If f(x)= f(2x+1) find the value of x .

If f(x) is real valued function such that (f(x-1)+f(x+1))/(2f(x))=sin60^(@),AA x in R then find the value of f(x-1)+f(x+5)

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

If f'(x)=(1)/(x)+x^(2) and f(1)=(4)/(3) then find the value of f(x)

If f(x)=min(|x|,1-|x|,(1)/(4))AA x in R, then find the value of int_(-1)^(1)f(x)dx