已知X≠0函数F(X)满足F(X+1/X)=x2+1/X2求Fx

问题描述:

已知X≠0函数F(X)满足F(X+1/X)=x2+1/X2求Fx

F(X+1/X)=x2+1/X2
=(X+1/X)^2-2
令X+1/X=t
即f(t)=t^2-2
f(x)=x^2-2