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CAPE Pure Mathematics Unit 1 · May/June 2012 · Paper 1 · Question Q32

The function g is defined as g(x) = \begin{cases} 3x + 5, & x < 3 \\ px + 2, & x \ge 3 \end{cases}. For the function to be continuous at x = 3 the value of p should be

  1. (A)-3
  2. (B)-1
  3. (C)4
  4. (D)12

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