If `f: RvecR` is an odd function such that `f(1+x)=1+f(x)` `x^2f(1/x)=f(x),x!=0` then find `f(x)dot`

If f:R rarr R is an odd function such that f(1+x)=1+f(x) and x^(2)f((1)/(x))=f(x) find f(x)

Iff is a function such that f(0)=2,f(1)=3,f(x+2)=2f(x)-f(x+1), then f(5) is

If f is a function such that f(0) = 2, f(1) = 3, f(x+2) = 2f(x) - f(x + 1), then f(5) is

If f(x)=(x-1)/(x+1), then find f{f(x)}

If f(x) be a differentiable function,such that f(x)f(y)+2=f(x)+f(y)+f(xy);f'(0)=0,f'(1)=2 then find f(x)

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x) - f((1)/(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)

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

if f(x)+f((1)/(x))=f(x)f((1)/(x)) and f(3)=28 Then find f(4)