If `(f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1) (x^(4) +x ^(2) +1) =0`
`AA x in R -{0}and f (x) ne pm 1,` then which of the following statement (s) is/are correct ?

f (x) = (e^(1//x^(2)))/(e^(1//x^(2))-1) , x ne 0, f (0) = 1 then f at x = 0 is

Let f(x+(1)/(x) ) =x^2 +(1)/(x^2) , x ne 0, then f(x) =?

If f(x)+2f(1-x)=x^(2)+1,AA x in R, then the range of f is :

Let f(x) = (1)/(2) [f( xy ) + f((x)/(y)) ]AA x, y in R ^(+) such that f(1) = 0, f^(1)(1) =2 Now answer the following f^(1) (3) =

If f(x) +2f(1/x) =3x, x ne 0 and S={x in R//f (x) =f(-x)} , then S is:

Let f(x) = (1)/(2) [f( xy ) + f((x)/(y)) ]AA x, y in R ^(+) such that f(1) = 0, f^(1) (1)=2 Now answer the following f(x) - f(y ) =

If f'(x)=(1-2sin^2x)/f(x), (f(x) ge 0, AA x in R and f(0)=1) then f(x) is a periodic function with the period

Let F(x) = f(x) +g(x) , G(x) = f(x) - g( x) and H(x) =(f( x))/( g(x)) where f(x) = 1- 2 sin ^(2) x and g(x) =cos (2x) AA f: R to [-1,1] and g, R to [-1,1] Now answer the following If the solution of F(x) -G (x) =0 are x_1,x_2, x_3 --------- x_n Where x in [0,5 pi] then