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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
Let f(x+1x)=x2+1x2,(x≠0)f\left( {x + \frac{1}{x}} \right) = {x^2} + \frac{1}{{{x^2}}},\left( {x \ne 0} \right) then f(x)f\left( x \right) equals
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Correct option: B
x2−2  for  all  ∣x∣≥2{x^2} - 2\;for\;\mathrm{ }all\;\left| x \right| \ge 2
Option B (x2−2  for  all  ∣x∣≥2{x^2} - 2\;for\;\mathrm{ }all\;\left| x \right| \ge 2) is correct because it correctly expresses f(x) in terms of x, considering the domain restriction.

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