Finding Inverse Functions - Using Function Machines WORKSHEET

Introducing inverse functions through the concept of 'function machines' is an excellent way to help learners visualise and grasp this topic. This worksheet is designed to build students’ understanding and confidence in finding inverse functions step-by-step.

In Section A, learners will complete function machines for various functions, working forward and backwards to identify the corresponding inverse function. They will express these inverse functions using proper notation f⁻¹(x) and verify their results.

In Section B, pupils tackle more complex functions, applying their understanding of inverse processes. Functions include linear, quadratic, and fractional types, ensuring students gain a comprehensive understanding of inverses across different scenarios.

By working through this worksheet, students will solidify their grasp of the relationship between a function and its inverse, using visual aids and function notation effectively.