This deep dive covers Method: Finding an Inverse Function 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 3 of 7 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Method: Finding an Inverse Function
1Write y = f(x)
2Swap x and y
3Rearrange to make y the subject
4Replace y with f⁻¹(x)
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
What is an inverse function?
A function that undoes what the original function does. f⁻¹(x) reverses the operation of f(x)
What does f⁻¹ notation mean?
Inverse function (NOT 1/f). It's the function that undoes f, not the reciprocal