When sketching inverse functions we can use both the original graph and equation to determine what the inverse function will look like. This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions. In this post, we will explore graphical relationships and sketching inverse functions. In particular, we will explore how to examine the relationship between the graph of = () and the graph of = 1/() and then sketch it. Let’s begin with an introduction to inverse functions.
Introduction to inverse functions