Question

let f(x+1/x)=x2+1/x2 find the value of f(x)

Answer 1

f(x+ 1/x) = (x² + 1)/ x²
f(x) +f(1/x) = x²/x² + 1/x²
f(x) + f(1/x) = 1 + 1/x²
comparing l.h.s and r.h.s ,
f(x) =1

Answer 2

the answer for this question is f(x)=1