If `f`is a real function satisfying `f(x+1/x)=x^2+1/(x^2)`for all `x i – InterviewSolution

InterviewSolution

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)`.
Answer» Correct Answer - `f(x)=x^(2)-2,x""inR` `f(x+(1)/(x))=(x+(1)/(x))^(2)-2impliesf(x)=x^(2)-2impliesf(x)=x^(2)-2,x""inR`

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