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Black Book Advanced Problems in MathematicsMathematicsFunctions

If f(x) = cases 2+x, & x 0 4-x, & x < 0 cases , then f(f(x)) is given by :

Options

  1. Af(f(x)) = cases 4+x, & x 0 6-x, & x < 0 cases
  2. Bf(f(x)) = cases 4+x, & x 0 x, & x < 0 cases
  3. Cf(f(x)) = cases 4-x, & x 0 x, & x < 0 cases
  4. Df(f(x)) = cases 4-2x, & x 0 4+2x, & x < 0 cases

Correct answer

A. f(f(x)) = cases 4+x, & x 0 6-x, & x < 0 cases

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