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WAEC Further Mathematics 2025 Objective — Question 7

Question 7 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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Given that g:x→2x+8, f:x→x+2 and p:x→7-x, find [g∘(p∘f)](x).

  • A. 18+2x
  • B. 18-2x
  • C. 18-2xCorrect
  • D. 18-x

Explanation

(p∘f)(x) = p(x+2) = 7-(x+2) = 5-x. Then g(5-x) = 2(5-x)+8 = 10-2x+8 = 18-2x.

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