OCR C3 2008 January — Question 1

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2008
SessionJanuary
TopicComposite & Inverse Functions

1 Functions f and g are defined for all real values of \(x\) by $$\mathrm { f } ( x ) = x ^ { 3 } + 4 \quad \text { and } \quad \mathrm { g } ( x ) = 2 x - 5$$ Evaluate
  1. \(f g ( 1 )\),
  2. \(\mathrm { f } ^ { - 1 } ( 12 )\).