1
Write y = f(x)
2
Swap x and y
3
Rearrange to make y the subject
4
Replace y with fā»Ā¹(x)
This deep dive covers Finding the Inverse Function within Function Notation for GCSE Mathematics. Revise Function Notation in Algebra for GCSE Mathematics with 10 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 3 of 5 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Function Notation
If f(x) = xĀ² ā 1, what does f(3) equal?
f(x) = x + 3 and g(x) = 2x. Show with an example that fg(x) ā gf(x), and explain why the order matters.
Quick recall flashcards
Quadratic Sequence
Second differences constant. nth term has nĀ² in it
Inverse Function Method
Write y = f(x), swap x and y, rearrange for y, write as fā»Ā¹(x)