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Black Book Advanced Problems in MathematicsMathematicsFunctions

If f(x) and g(x) are two functions such that f(x) = [x] + [-x] and g(x) = x x R and h(x) = f(g(x)) ; then which of the following is incorrect ? ( [ ] denotes greatest integer function and denotes fractional part function)

Options

  1. Af(x) and h(x) are identical functions
  2. Bf(x) = g(x) has no solution
  3. Cf(x) + h(x) > 0 has no solution
  4. Df(x) - h(x) is a periodic function

Correct answer

B. f(x) = g(x) has no solution

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