This key facts covers Key Facts within Inverse Functions for GCSE Mathematics. Revise Inverse Functions in Algebra for GCSE Mathematics with 8 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 2 of 7 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 7
Practice
8 questions
Recall
4 flashcards
Key Facts
| Concept | Meaning | Example |
|---|---|---|
| f(x) | A function of x | f(x) = 2x + 3 |
| f⁻¹(x) | Inverse function (undoes f) | f⁻¹(x) = (x − 3)/2 |
| Domain | Input values for the function | All real numbers (usually) |
| Range | Output values from the function | Depends on the function |
| One-to-one | Each input gives a unique output | Required for inverse to exist |
Key insight: f(f⁻¹(x)) = x and f⁻¹(f(x)) = x
Keep building this topic
Read this section alongside the surrounding pages in Inverse Functions. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Inverse Functions
What does f⁻¹(x) represent?
Explain why the function f(x) = x² (for all real x) does not have an inverse function over its full domain.
Quick Recall Flashcards
8 questions on Inverse Functions — practise free
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