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MHT CET202617 April 2026Evening ShiftMathematicsFunctionsActual

If f(x) = 1 - x 1 + x , then f(f( x)) =

Options

  1. Ax
  2. Bx
  3. Cx 2
  4. Dx 2

Correct answer

A. x

Step-by-step solution

Given f(x) = 1 - x 1 + x Evaluating f(f(x)) : f(f(x)) = 1 - f(x) 1 + f(x) f(f(x)) = 1 - 1 - x 1 + x 1 + 1 - x 1 + x f(f(x)) = (1 + x) - (1 - x) (1 + x) + (1 - x) f(f(x)) = 2x 2 = x Substituting x = x into the above result: f(f( x)) = x Answer: x

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