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2 marksComposition of Functions

CSEC Mathematics · January 2015 · Paper 2 · Question 9(a)(iii)

The functions f(x) and g(x) are defined as: f(x) = (5x - 4)/3 and g(x) = x² - 1.

Write an expression, in terms of x, for fg(x).

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Other parts of this question

  1. 9(a)(i)Evaluate f(7).[1 mark]
  2. 9(a)(ii)Write an expression, in terms of x, for f⁻¹(x).[2 marks]
  3. 9(b)(i)Express the quadratic function f(x) = 3x² + 6x - 2, in the form a(x + h)² + k, where a, h and k are constants.[3 marks]
  4. 9(b)(ii)Hence, or otherwise, state the minimum value of f(x) = 3x² + 6x - 2.[1 mark]
  5. 9(b)(iii)State the equation of the axis of symmetry of the function f(x) = 3x² + 6x - 2.[2 marks]
  6. 9(b)(iv)Sketch the graph of y = 3x² + 6x - 2, showing on your sketch a) the intercept on the y-axis b) the coordinates of the minimum point.[4 marks]

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