Inverse Functions – Understanding the Basics
In this video, we cover the fundamental concepts of inverse functions, including how to identify them, the horizontal line test for one-to-one functions, how to graph inverse functions, and how to determine their domain and range. This is a great starting point for anyone looking to understand the core ideas behind finding and interpreting inverses of functions.
What You Will Learn
What an inverse function is and how to find it.
The horizontal line test to determine if a function has an inverse.
How to graph an inverse function f^ (−1)(x) based on the original function.
How to find and understand the domain and range of inverse functions.
Inverse functions are a key topic in algebra and calculus, providing a way to “reverse” the operation of a function. In this video, you’ll learn the criteria for a function to have an inverse, practical tips for graphing inverses, and an intuitive understanding of how the domain and range are connected between a function and its inverse. By the end, you’ll have a strong grasp of the basics to tackle more advanced problems involving inverses.
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