WAEC Further Mathematics 2010 Question 20

Question 20

Functions

If h(x) = x3 − 1/x3 evaluate h(a) − h(1/a)

  1. A.1/a3
  2. B.0
  3. C.2a3 − 2/a3
  4. D.2/a3 − 2a3
Show the answer and explanation

Answer: C (2a3 − 2/a3)

Explanation

h(a) = a3 − 1/a3 and h(1/a) = 1/a3 − a3. Subtracting gives 2a3 − 2/a3.