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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
Let f(x+1x)=x2+1x2,  x≠0f\left( {x + \frac{1}{x}} \right) = {x^2} + \frac{1}{{{x^2}}},\;x \ne 0, then f(x)f\left( x \right) is equal to
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Correct option: C
x2−2{x^2} - 2
Option C (x2−2x^2 - 2) is correct because substituting x+1xx + \frac{1}{x} into the function results in x2+1x2x^2 + \frac{1}{x^2}.

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