WAEC Further Mathematics 2006 Question 9

Question 9

Functions

If f(x) = 1/(2 − x), x ≠ 2, find f−1(−½).

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

Answer: A (4)

Explanation

f−1(−½) is the x for which 1/(2 − x) = −½. Then 2 − x = −2, so x = 4.