f (x + 1/x) = x² + 1/x² = (x + 1/x)² - 2∵x+1/x ≠ 0∴令t = x+1/x ≠ 0f(t)=t²-2≠0 (t≠0)即:f(x)=x²-2 (x≠0)
f(x+x/1)=x^2+x^2/1=(x+x/1)^2-2f(x)=x^2-2