1.

If `f(x+1/x)= x^2+1/x^2` then `f(x)=`A. `x^(2)`B. `(x^(2) -1)`C. `(x^(2)-2)`D. none of these

Answer» Correct Answer - C
Let `x+(1)/(x)=z.` Then
` f(z)=f (x+(1)/(x)) =(x^(2) +(1)/(x^(2))) =(x+(1)/(x))^(2) -2 =(z^(2) -2)`
`rArr f(x) = (x^(2) -2)`


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