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.
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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.
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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.
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Lesson video
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Starter quiz
6 Questions
Exit quiz
6 Questions
$${\text{f}}(x)=4x+5$$ -
$${\text{f}}^{-1}(x)={{x-5}\over{4}}$$
$${\text{f}}(x)=4x-5$$ -
$${\text{f}}^{-1}(x)={{x+5}\over{4}}$$
$${\text{f}}(x)=4(x+5)$$ -
$${\text{f}}^{-1}(x)={{x}\over{4}}-5$$
$${\text{f}}(x)=5x+4$$ -
$${\text{f}}^{-1}(x)={{x-4}\over{5}}$$
$${\text{f}}(x)=5(x+4)$$ -
$${\text{f}}^{-1}(x)={{x}\over{5}}-4$$
