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9709 · October/November 2020 · examinable unit

9709/11 Question 11

Cambridge Mathematics · 9 marks · syllabus 1.2. This page is the question object — what is being tested — not the mark scheme.

Stem preview

The functions $f$ and $g$ are defined by $f(x) = x^2 + 3$ for $x > 0$, $g(x) = 2x + 1$ for $x > - rac{1}{2}$. (a) Find an expression for $fg(x)$. (b) Find an…

Full stem stays in the official paper. We show a short excerpt so you can identify the item, then attempt your own answer.

What the examiner is asking

This 9709/11 item (9 marks, October/November 2020) is testing whether you can apply syllabus 1.2 under timed exam conditions — not whether you can recall a textbook paragraph. Read the command word, identify the quantity or argument required, and plan the mark-earning steps before you write.

Prerequisite concepts

  • Core definitions and relationships for syllabus 1.2
  • Command-word literacy (state / describe / explain / calculate / deduce)
  • Showing method lines examiners can credit even if the final answer slips
Open prerequisite lesson

Similar practice

After you attempt this question, mark it, then take another 9709 past-paper item on the same topic so the weakness becomes a habit fix — not a one-off score.