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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Let f(x)= (x+ 1 x )^6- (x^6+ 1 x^6 )-2 (x+ 1 x )^3+ (x^3+ 1 x^3 ) then

Options

  1. Arange of f(x) is R-(-6,6)
  2. Bf(x) is increasing x (1, )
  3. Cf(x) is decreasing x (- ,-1)
  4. Drange of f(x) is R- 0

Correct answer

C. f(x) is decreasing x (- ,-1)

Step-by-step solution

If we simplify, we get f(x)=3 (x+ 1 x ) .

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