WAEC Further Mathematics 2023 Question 9

Question 9

Functions

If f: x → 2 tan x and g: x → √(x2 + 8), find (g o f)(45°)

  1. A.6
  2. B.3√2
  3. C.4
  4. D.2√3
Show the answer and explanation

Answer: D (2√3)

Explanation

f(45°) = 2 tan 45° = 2. Then g(2) = √(4 + 8) = √12 = 2√3.