Introduction to Inverses
In this lesson, we learn about the properties of inverses of functions. The domain and range of a function are switched when talking about the inverse, and they have symmetry about the x-y line. Not every function has an inverse, and one way to test it graphically is by using a horizontal line test. Additionally, we are given steps to determine the inverse of a function algebraically.
Properties of Inverses of Functions
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- How can you equate the domain of a function to its inverse ?
- The inverse of a function is symmetrical about which line ?
- what is the inverse of point A(1,3)
- Do all functions have an inverse?
- Give an example of a function that has no inverse.
- How would you verify whether a function has an inverse or not without a graph?
