WAEC Further Mathematics 2013 Question 5

Question 5

Functions

If f(x) = x2 and g(x) = Sin x, find g o f.

  1. A.Sin2x
  2. B.Sin x2
  3. C.(Sin x)x2
  4. D.x Sin x
Show the answer and explanation

Answer: B (Sin x2)

Explanation

g o f(x) = g(f(x)) = g(x²) = sin x².