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2 marksComposition of Functions

CSEC Mathematics · January 2014 · Paper 2 · Question 9(a)(i)b)

The functions h(x) and g(x) are defined as h(x) = 10/x - 3 and g(x) = 3x - 2.

Evaluate hg(4).

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Other parts of this question

  1. 9(a)(i)a)Evaluate g(4).[1 mark]
  2. 9(a)(ii)a)Write an expression in x for h⁻¹(x).[4 marks]
  3. 9(a)(ii)b)Write an expression in x for gg(x).[4 marks]
  4. 9(b)(i)State the roots of the equation x² + bx + c = 0.[2 marks]
  5. 9(b)(ii)a)Determine the value of c.[2 marks]
  6. 9(b)(ii)b)Show that b = -4.[2 marks]
  7. 9(b)(iii)State the coordinates of the MINIMUM point on the graph of the function y = x² + bx + c.[2 marks]

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