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Function Notation

Revise Function Notation in Algebra for GCSE Mathematics with 10 exam-style questions and 3 flashcards. This topic appears regularly enough that it should be part of a solid GCSE revision cycle.

Study this topic

1

Input → Process → Output

Introduction2

Key Notation

Key Facts3

Finding the Inverse Function

Deep Dive4

Worked Example: Find Inverse

Notes

Sample Flashcards

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

Sample Questions

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

10

exam-style questions

3

revision flashcards

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Algebraic Fractions

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Inverse Functions