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If f is a real function satisfying f(x+1...

If `f` is a real function satisfying `f(x+1/x)=x^2+1/(x^2)` for all `x in R-{0}` , then write the expression for `f(x)` .

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Given,`f(x+1/x)=x^2+1/(x^2)`
=`x^2+1/(x^2)-2+2`
=`(x+1/x)^2-2`
Thus,`f(x+1/x)=(x+1/x)^2-2`
Hence,`f(x)=x^2-2 where |x|>=2`
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