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WAEC Further Mathematics 2010 Question 1

Question 1

Functions

Find the domain of f(x) = x/(3 − x) where x ∈ R, the set of real numbers.

  1. A.(x : x ∈ R, x ≠ 3)
  2. B.(x : x ∈ R, x ≠ 1)
  3. C.(x : x ∈ R, x ≠ 0)
  4. D.(x : x ∈ R, x = −3)
Show the answer and explanation

Answer: A ((x : x ∈ R, x ≠ 3))

Explanation

The function is undefined only when the denominator 3 − x = 0, i.e. x = 3. So the domain is all real x except 3.