IB Math AI 2.7 - Composite and Inverse Functions

This IB Math AHL 2.7 – Composite and Inverse Functions slide deck introduces students to how functions can be combined and reversed to form new relationships.

It explains the concept of a composite function as taking the output of one function and using it as the input of another, supported by clear diagrams and worked examples. The lesson also explores inverse functions, emphasizing how they swap inputs and outputs and when a function is invertible through domain restrictions. Visual comparisons between original and inverse graphs help students understand the one-to-one requirement for invertibility.

With interactive examples and guided practice, this presentation builds a strong conceptual and procedural understanding of function composition and inversion. These are core ideas in advanced function analysis and IB exam preparation.