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A-LevelMathematicsFunctions9709/12 · May/June 2016 · Q13 Marks

Functions f and g are defined by f:x ↦ 10 – 3x, x ∈ R, g:x ↦ 10 / (3 – 2x), x ∈ R, x ≠ 3/2. Solve the equation ff(x) = gf(2).

  1. Solve the equation ff(x) = gf(2).[3]

Mark scheme

Marking points from the official mark scheme (May/June 2016). The mark or mark type is shown in brackets.

  1. [B1] ff(x) = 10-3(10-3x) Correct unsimplified expression
  2. [B1] gf(2) = 10 / (3-2(10-3(2))) (= -2) Correct unsimplified expression with 2 in for x
  3. [B1] x = 2

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About this question

Topic
Functions, A-Level Mathematics (syllabus 9709). Structured question, 3 marks.
Source
A-Level Mathematics, May/June 2016 Paper 1 Variant 2, question 1.

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