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WAEC Further Mathematics 2011 Question 38

Question 38

Functions

The functions f and g are defined on the set, R, of real numbers by f : x → x2 − x − 6 and g : x → x − 1. Find f ∘ g(3).

  1. A.−8
  2. B.−6
  3. C.−4
  4. D.−3
Show the answer and explanation

Answer: C (−4)

Explanation

g(3) = 2, then f(2) = 4 − 2 − 6 = −4.