Year 11 - Maths
Finding the inverse of a function
Functions and proof
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will further develop their understanding of algebraic notation and graphs by learning about functions, their inverses and composite functions.
Lesson Summary
You will learn to find the inverse of a function.
Key Notes
- By changing the subject, you can find the inverse function.
- The inverse function maps the output to the input.
- There is a graphical connection between a function and its inverse.
Vocabulary To Learn
- Inverse function: An inverse function reverses the mapping of the original function.
Common Mistakes To Avoid
- Confusing domain and range when considering the inverse function.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
By changing the subject, you can find the inverse function. The inverse function maps the output to the input.
2. Use this key word in a maths sentence and explain it clearly. 'Inverse function'
An inverse function reverses the mapping of the original function. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Confusing domain and range when considering the inverse function. Correction: The range of a function is the domain of its inverse function.
More Lessons In This Unit
- Checking and securing understanding of functions Study Guide
- Defining function notation Study Guide
- General algebraic forms for specific number properties Study Guide
- Logical arguments Study Guide
- Making conjectures about patterns and relationships Study Guide
- Multiple approaches to logical arguments Study Guide
- Problem solving with functions and proof Study Guide
- Proving or disproving a statement Study Guide
- Solving equations involving composite functions Study Guide
- Solving equations involving functions Study Guide
- Writing a generalised statement about specific number properties Study Guide
- Writing a proof Study Guide
- Writing composite functions Study Guide
Browse all guides in the Year 11 Maths guide library.