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O-LevelAdditional MathematicsFunctions4037/22 · May/June 2025 · Q34 Marks

Functions f and g are such that f(x) = 3x / (x+4) for x > 0 g(x)=√(x+2) for x >-2. Solve the equation fg(x) = 1.

Mark scheme

Marking points from the official mark scheme (May/June 2025). The mark or mark type is shown in brackets.

  1. [M1] 3√x+2 / (√x+2+4) = 1 soi or g(x)=f⁻¹(1) soi
  2. [M1] FT for correct equation without an algebraic fraction e.g. √x+2 = 2
  3. [A2] x = 2 nfww

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About this question

Topic
Functions, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2025 Paper 2 Variant 2, question 3.

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