Edexcel P3 2023 October — Question 2

Exam BoardEdexcel
ModuleP3 (Pure Mathematics 3)
Year2023
SessionOctober
TopicComposite & Inverse Functions

  1. The function f is defined by
$$\mathrm { f } ( x ) = \frac { x + 3 } { x - 4 } \quad x \in \mathbb { R } , x \neq 4$$
  1. Find ff(6)
  2. Find \(f ^ { - 1 }\) The function \(g\) is defined by $$g ( x ) = x ^ { 2 } + 5 \quad x \in \mathbb { R } , x > 0$$
  3. Find the exact value of \(a\) for which $$\operatorname { gf } ( a ) = 7$$