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Number of integers in the range of function f x = log 1 2 x - 1 2 + log 2 4 x 2 - 4 x + 1 is (are)

Options

  1. A1
  2. B2
  3. C3
  4. Dmore than 4

Correct answer

A. 1

Step-by-step solution

f x = log 2 x - 1 2 - 1 + log 2 ( 2 x - 1 ) 2 f x = - log 2 x - 1 2 + log 2 2 x - 1 f x = - log 2 x - 1 2 + log 2 2 x - 1 2 f x = - log 2 x - 1 2 + log 2 2 + log 2 x - 1 2 f x = 1 , so the range of f x is 1

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