Mathematics: Analysis and Approaches · Topic 2: Functions

SL2.5 — Composite and inverse functions

Mathematics: Analysis and Approaches · SL / HL · syllabus-mapped notes

1. Composite functions

   The composition $(f\circ g)(x)=f(g(x))$ and the identity function.

2. Finding the inverse function

   Reversing a function algebraically, using $(f\circ f^{-1})(x)=x$ and one-to-one existence.