SPS SPS SM Pure 2021 May — Question 1

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2021
SessionMay
TopicComposite & Inverse Functions

  1. The function f is defined for all non-negative values of \(x\) by
$$\mathrm { f } ( x ) = 3 + \sqrt { x }$$
  1. Evaluate \(\mathrm { ff } ( 169 )\).
  2. Find an expression for \(\mathrm { f } ^ { - 1 } ( x )\) in terms of \(x\).
  3. On a single diagram sketch the graphs of \(y = \mathrm { f } ( x )\) and \(y = \mathrm { f } ^ { - 1 } ( x )\), indicating how the two graphs are related.
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