Question

Let f(x+1/x) = x^2 + 1/x^2 then find the value of f(x)
Pls it's urgent

Answer 1

we are given f(x+1/x) = x^2 +1/x^2
                     f(x+1/(x+1)x) = x^4+1/x^2
                 so, f(1/x) = x^4+1/x^2*(x+1)
               so, f(x) = x^2*(x+1)/x^4+1