AlgebraKey Facts

Key Notation

Part of Function NotationGCSE Mathematics

This key facts covers Key Notation within Function Notation for GCSE Mathematics. Revise Function Notation in Algebra for GCSE Mathematics with 10 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 4 in this topic. Use this key facts to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 2 of 4

Practice

10 questions

Recall

3 flashcards

Key Notation

Notation Meaning Example (if f(x) = 2x + 1)
f(x) The function rule f(x) = 2x + 1
f(3) Output when input is 3 f(3) = 2(3) + 1 = 7
f⁻¹(x) Inverse function f⁻¹(x) = (x − 1)/2
fg(x) Composite: f of g(x) Do g first, then f

Keep building this topic

Read this section alongside the surrounding pages in Function Notation. That gives you the full topic sequence instead of a single isolated revision point.

Practice Questions for Function Notation

If f(x) = x² − 1, what does f(3) equal?

  • A. 3
  • B. 7
  • C. 8
  • D. 9
1 markfoundation

f(x) = x + 3 and g(x) = 2x. Show with an example that fg(x) ≠ gf(x), and explain why the order matters.

2 markshigher

Quick Recall Flashcards

Inverse Function Method
Write y = f(x), swap x and y, rearrange for y, write as f⁻¹(x)
Quadratic Sequence
Second differences constant. nth term has n² in it

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