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Let f:(1, ) (0, ) be a continuous decreasing function with _ x f(4 x) f(8 x) =1 , then _ x f(6 x) f(8 x) is equal to

Options

  1. A4 8
  2. B4 6
  3. C6 8
  4. D1

Correct answer

D. 1

Step-by-step solution

As f(x) is continuous decreasing function on (0, ) , so 0 f(8 x) f(6 x) f(4 x) So _ x 1 _ x f(6 x) f(8 x) _ x f(4 x) f(8 x) By squeeze play theorem _ x f(6 x) f(8 x) =1

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