Let’s learn a little bit about the domain and range for inverse functions. This is part of the Prelim Maths Extension 1 Syllabus from the topic Functions: Further, Work with Functions, specifically focusing on domain and range for inverse functions. Typically, we can see these using the following:
- The domain of the original function is the range of its inverse function.
- The range of the original function is the domain of its inverse function.
- Looking at the denominator of any fractions that occur in the function.
When to use inverse relation and relationships between domains and ranges
Below we will learn to when the inverse relation is a function, use the notation f^-1(x) and identify the relationships between the domains and ranges of f(x) and f^-1(x) .