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2 marksDeriving Inverse Functions

CSEC Mathematics · Question 8(a)(ii)b)

The functions f and g are defined by f(x) = 9 / (2x + 1) and g(x) = x - 3.

Find, in its simplest form, expressions for f⁻¹(x).

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Other parts of this question

  1. 8(a)(i)State a value of x that CANNOT be in the domain of f.[1 mark]
  2. 8(a)(ii)a)Find, in its simplest form, expressions for fg(x).[2 marks]
  3. 8(b)(i)By writing an expression for the area of rectangle ABCD, show that x² + 2x - 4 = 0.[3 marks]
  4. 8(b)(ii)Calculate, to 3 decimal places, the value of x.[2 marks]
  5. 8(b)(iii)Calculate the perimeter of the UNSHADED region.[2 marks]

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