# Numbers | Maths with Lemon

Source: https://mathswithlemon.io/aa-functions-the-inverse-function.html


## Inverse Function

"Not a lot of people know this, but I'm very good at mathematics. When I was an angry teenager, I used to sit in my room and do quadratic equations to calm myself down " Samantha Bond


#### Extra


##### Material and references:

- Hodder Book SL (ISBN: 9781510462359): Chapter 14B

##### Key Points

- 1. You should be able to find inverse functions. To find an expression for \(f^{-1}(x)\): let \(y=f(x)\), rearrange to make \(x\) the subject, and then state \(f^{-1}(x)\) by replacing any \(y\)'s with \(x\)'s.
- 2. You should know when inverse functions exist. A function must be one-to-one in order to have an inverse.

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