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

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

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

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

If f(x) is a polynomial function f:R→R such that f(2x)=f (x) f ′′(x) Then f(x) is

If f:R rarr R is a function such that f(x)=2^(x), find.(i) range of f( ii) (x:f(x)=1) (iii) f(x+y)=f(x)+f(y) is true or false.

Let f :R to R be a function such that f(x) = x^3 + x^2 f' (0) + xf'' (2) , x in R Then f(1) equals:

If f: R to [0,∞) be a function such that f(x -1) + f(x + 1) = sqrt3(f(x)) then prove that f(x + 12) = f(x) .

If f:R->R is a twice differentiable function such that f''(x) > 0 for all x in R, and f(1/2)=1/2 and f(1)=1, then