OCR C3 2007 June — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2007
SessionJune
TopicComposite & Inverse Functions

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