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WAEC Further Mathematics 2018 Question 2

Question 2

Functions

Find the domain of g(x) = (4x2 − 1)/√(9x2 + 1).

  1. A.{x : x ∈ R, x ≠ ½}
  2. B.{x : x ∈ R, x ≠ −½}
  3. C.{x : x ∈ R, x ≠ −1}
  4. D.{x : x ∈ R}
Show the answer and explanation

Answer: D ({x : x ∈ R})

Explanation

9x² + 1 is always positive, so the square root is defined and never zero. g is defined for every real x.