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CAPE Pure Mathematics Unit 1 · May/June 2009 · Paper 1 · Question Q4

The tables below show the values of the functions f and g. \begin{tabular}{|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline f(x) & 7 & 5 & 3 & 2 & -7 & -5 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|c|} \hline x & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline g(x) & 3 & \frac{1}{4} & \frac{1}{2} & 5 & \frac{1}{3} & 2 \\ \hline \end{tabular} The value of g^{-1}[f(3)] is

  1. (A)\frac{1}{2}
  2. (B)2
  3. (C)5
  4. (D)7

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