1. Definition: First, we need to record the definition of the inverse function. The inverse function is the inverse operation of a function F. If there is a function G that makes f(g(x))=x and g(f(x))=x for all x, then we say that G is the inverse function of F.
2. Properties: The inverse function has some important properties. For example, they are one-to-one correspondence (each input corresponds to a unique output and each output corresponds to a unique input), and they are also bijective (the output of each input is equal to its own output). These properties are very useful in solving practical problems.
3. Solution: We need to learn how to find the inverse function of a function. This usually involves solving equations or using graphs. We need to record the specific steps and examples of these methods.
4. Application: Inverse functions have applications in many fields, such as algebra, geometry, physics and engineering. We need to record examples of these applications in order to understand the practical use of inverse functions.
5. Practice: Finally, we need to do some exercises to consolidate our understanding. We can find these topics from textbooks or the Internet. We need to record our answers and problem-solving process for reference when reviewing.
Generally speaking, taking notes of inverse function requires us to understand and remember the definition, nature, solution and application of inverse function, and consolidate our knowledge through practice.