This PowerPoint uses a golf club manufacturing analogy to introduce the idea of restricting the range of the nested function so that the 鈥渙uter鈥� function can use all of its outputs. Also covers range of composite functions.

Also included is a worksheet with a more basic exercise on composite functions followed by a few practice questions on domain and range of composite functions.

Written for A-level Maths. Requires prior knowledge of composite functions, domain and range.