OAU Post-UTME Mathematics 2012 Question 9

Question 9

Inequalities

What is the highest possible value of 8/(1 + x2) if 0 ≤ x ≤ 3?

  1. A.8
  2. B.4
  3. C.2
  4. D.16
Show the answer and explanation

Answer: A (8)

Explanation

The fraction is largest when the denominator is smallest, at x = 0: 8/1 = 8.