f(x+1/x)=x2+1/x2,求f(x)

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f(x+1/x)=x2+1/x2,求f(x)f(x+1/x)=x2+1/x2,求f(x)f(x+1/x)=x2+1/x2,求f(x)f(x+1/x)=x^2+1/x^2=x^2+2*x*(1/x)+(

f(x+1/x)=x2+1/x2,求f(x)
f(x+1/x)=x2+1/x2,求f(x)

f(x+1/x)=x2+1/x2,求f(x)
f(x+1/x)
=x^2+1/x^2
=x^2+2*x*(1/x)+(1/x)^2 -2*x*(1/x)
=(x+1/x)^2-2.
则f(x)=x^2-2.