SPS SPS SM 2022 February — Question 8

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2022
SessionFebruary
TopicComposite & Inverse Functions

8. The diagram shows the graph of \(y = \mathrm { f } ( x )\), where
  1. Evaluate \(\mathrm { ff } ( - 3 )\).
  2. Find an expression for \(\mathrm { f } ^ { - 1 } ( x )\). $$\mathrm { f } ( x ) = 2 - x ^ { 2 } , \quad x \leqslant 0 .$$
  3. Sketch the graph of \(y = \mathrm { f } ^ { - 1 } ( x )\). Indicate the coordinates of the points where the graph meets the axes.
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