A2 June 2023 Paper 2 Q4

AQACurrent spec1 markHyperbolic Functions

4 It is given that \(\mathrm{f}(x) = \cosh^{-1}(x - 3)\)

Which of the sets listed below is the greatest possible domain of the function \(\mathrm{f}\)?

Circle your answer. [1 mark]

  • \(\{x : x \geqslant 4\}\)
  • \(\{x : x \geqslant 3\}\)
  • \(\{x : x \geqslant 1\}\)
  • \(\{x : x \geqslant 0\}\)