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2 marksChanging the Subject of Formulae

CSEC Mathematics · January 2012 · Paper 2 · Question 9(a)(i)

This question involves algebraic manipulation, functions, and linear programming.

Make x the subject of the formula y = (2x+3)/(x-4).

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Other parts of this question

  1. 9(a)(ii)Hence, determine the inverse of f(x) = (2x+3)/(x-4), where x ≠ 4.[2 marks]
  2. 9(a)(iii)Find the value of x for which f(x) = 0.[2 marks]
  3. 9(b)(i)State the other TWO inequalities which define the shaded region.[2 marks]
  4. 9(b)(ii)Identify the three pairs of (x, y) values for which p has a maximum or a minimum value.[3 marks]
  5. 9(b)(iii)Which pair of (x, y) values makes p a maximum? Justify your answer.[4 marks]

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