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MHT CET20244 May 2024Morning ShiftMathematicsFunctionsActual

If f (x)= _ c ( 1-x 1+x ),|x| 1 , then f ( 2 x 1+x^2 ) is equal to

Options

  1. A2 f (x^2 )
  2. B( f (x))^2
  3. C-2 f (x)
  4. D2 f (x)

Correct answer

D. 2 f (x)

Step-by-step solution

aligned f ( 2 x 1+x^2 ) & = _ e ( 1- 2 x 1+x^2 1+ 2 x 1+x^2 ) & = _ e ( (1-x)^2 (1+x)^2 ) & =2 _ e ( 1-x 1+x ) & =2 f (x) aligned

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