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JAMB Mathematics 1988 Question 16

Question 16

Algebraic Expressions

If g(y) = (y − 3)/11 + 11/(y2 − 9) what is g(y + 3)?

  1. A.y/11 + 11/(y(y + 6))
  2. B.y/11 + 11/(y(y + 3))
  3. C.(y + 30)/11 + 11/(y(y + 3))
  4. D.(y + 3)/11 + 11/(y(y − 6))
Show the answer and explanation

Answer: A (y/11 + 11/(y(y + 6)))

Explanation

Replace y by y + 3: (y + 3 − 3)/11 + 11/((y + 3)² − 9) = y/11 + 11/(y² + 6y) = y/11 + 11/(y(y + 6)).