Finding the inverse of a function
I can find the inverse of a function.
Finding the inverse of a function
I can find the inverse of a function.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- 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.
Keywords
Inverse function - An inverse function reverses the mapping of the original function.
Common misconception
Confusing domain and range when considering the inverse function.
The range of a function is the domain of its inverse function.
To help you plan your year 11 maths lesson on: Finding the inverse of a function, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your year 11 maths lesson on: Finding the inverse of a function, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Functions and proof unit, dive into the full secondary maths curriculum, or learn more about lesson planning.
Licence
Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$${\text{f}}(x)=4x+5$$ -
$${\text{f}}^{-1}(x)={{x-5}\over{4}}$$
$${\text{f}}(x)=4x-5$$ -
$${\text{f}}^{-1}(x)={{x+5}\over{4}}$$
$${\text{f}}(x)=4(x+5)$$ -
$${\text{f}}^{-1}(x)={{x}\over{4}}-5$$
$${\text{f}}(x)=5x+4$$ -
$${\text{f}}^{-1}(x)={{x-4}\over{5}}$$
$${\text{f}}(x)=5(x+4)$$ -
$${\text{f}}^{-1}(x)={{x}\over{5}}-4$$
