If `f(x+1/x)=x^2+1/x^2` then find the value of `f(x)`

If f(x ) = x^3 - 1/x^3 , then find the value of f(x) + f( 1/x )

If f(x) = x^5 - 1/x^5 then find the value of f(x) + f(1/x)

Ilf f(x)={x^3, x 2 , then find the value of f(-1)+f(1)+f(3) . Also find the value (s) of x for which f(x)=2.

If f(x-1)=x^(2) , then find f(x+1)

If f(x)=x^(2+x+1 , then find the value of 'x' for which f(x-1) =f(x)

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

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

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

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)

If f(x)=x^(2)-x+1 , then find the inverse of the f (x)