Question

let f(x+1/x)=x^2+1/x^2,x does not =0, then find f(x)

please give me the correct answer​

Answer 1

f(x+1/x)=x^2+1/x^2=(x+1/x)^2-2 x (1/x) =(x+1/x)^2-2______(i)

replacing (x+1/x) with x in (i) we get ,

f(x) =x^2-2

Answer:-f(x) =x^2-2