f(x-1/x)=x2+1/x2 则f(3)=求详解

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f(x-1/x)=x2+1/x2则f(3)=求详解f(x-1/x)=x2+1/x2则f(3)=求详解f(x-1/x)=x2+1/x2则f(3)=求详解令t=x-1/xx²+1/x²

f(x-1/x)=x2+1/x2 则f(3)=求详解
f(x-1/x)=x2+1/x2 则f(3)=求详解

f(x-1/x)=x2+1/x2 则f(3)=求详解
令t=x-1/x
x²+1/x²=x²-2+1/x²+2=(x-1/x)²+2=t²+2
∴f(t)=t²+2
f(3)=3²+2=11