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WAEC Further Mathematics 2025 Question 7

Question 7

Functions

Given that g: x → 2x + 8, f: x → x + 2 and p: x → 7 − x, find [g o (p o f)](x)

  1. A.18 + 2x
  2. B.2x − 18
  3. C.18 − 2x
  4. D.18 − x
Show the answer and explanation

Answer: C (18 − 2x)

Explanation

p(f(x)) = 7 − (x + 2) = 5 − x. Then g(5 − x) = 2(5 − x) + 8 = 18 − 2x.