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WAEC Further Mathematics 2025 Question 5

Question 5

Functions

Find the truth set of x for which (2x + 3)/(4x3 − x) is undefined

  1. A.(0, 2, 4)
  2. B.(0, 1, 2)
  3. C.{−½, 0, ½}
  4. D.{−½, 0, 2}
Show the answer and explanation

Answer: C ({−½, 0, ½})

Explanation

The fraction is undefined when 4x³ − x = x(2x − 1)(2x + 1) = 0, i.e. x = −½, 0 or ½.