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Black Book Advanced Problems in MathematicsMathematicsFunctions

Which of the following functions are defined for all x R ? (Where [ ] denotes greatest integer function)

Options

  1. Af(x) = [x] + [x]
  2. Bf(x) = ⁻¹ (1 + ^2 x)
  3. Cf(x) = 9 8 + x + 2x
  4. Df(x) = ( (1 + |x|))

Correct answer

A. f(x) = [x] + [x]

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