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Black Book Advanced Problems in MathematicsMathematicsFunctions

For a real number x, let [x] denotes the greatest integer less than or equal to x. Let f : R -> R be defined by f(x) = 2x + [x] + sin x cos x. Then f is :

Options

  1. AOne-one but not onto
  2. BOnto but not one-one
  3. CBoth one-one and onto
  4. DNeither one-one nor onto

Correct answer

A. One-one but not onto

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