SPS SPS SM Pure 2022 June — Question 4

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2022
SessionJune
TopicComposite & Inverse Functions
4. The function f is defined by $$f ( x ) = \frac { 5 x } { 7 x - 5 }$$
  1. The domain of f is the set \(\{ x \in \mathbb { R } : x \neq a \}\) State the value of \(a\)
  2. Prove that f is a self-inverse function
  3. Find the range of f
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