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WAEC Further Mathematics 2010 Question 10

Question 10

Functions

For what values of x is (x2 − 9x + 18)/(x2 + 2x − 35) undefined?

  1. A.−18 or −9
  2. B.−5 or 7
  3. C.−7 or 5
  4. D.9 or 18
Show the answer and explanation

Answer: C (−7 or 5)

Explanation

A fraction is undefined when its denominator is zero: x2 + 2x − 35 = (x + 7)(x − 5) = 0, so x = −7 or 5.