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Let f:(-1,1) I R be such that f( 4 )= 2 2- ² for (0, 4 ) ( 4 , 2 ) . Then the value (s) of f ( 1 3 ) is (are)

Options

  1. A1- 3 2
  2. B1+ 3 2
  3. C1- 2 3
  4. D1+ 2 3

Correct answer

A. 1- 3 2

Step-by-step solution

Given : f( 4 )= 2 2- ² = 2 ² 2 ² -1 = 1+ 2 2 =1+ 1 2 Let 4 = 1 3 2 ² 2 -1= 1 3 2 = 2 3 f( 4 )=1+ 1 2 =1 3 2 or f ( 1 3 )=1 3 2

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