Inverse Functions (Complete Guide)

Learn about inverse functions in this complete guide. We discuss how to find the inverse of a function intuitively as well as algebraically. We discuss inverse function notation as well as the graphic interpretation of the inverse. In addition, know how to tell if the inverse of a function is a function as well as how to verify that functions are inverses of each other by using composition of functions. Lastly, we discuss how to restrict the domain of a function so that it's inverse will be a function.

0:40 What is a Function and Terminology
1:08 Some Examples of Inverse Functions
1:30 Introductory Example Find Inverse Given Coordinates
1:58 Intuitive Way of Finding the Inverse of y=2x-1
3:01 Algebraic Way of Finding the Inverse of y=2x-1
3:36 Looking at the Graph of a Function and it's Inverse
4:43 Find the Inverse of f(x)=(1/3)x+7
5:30 Notation for Writing the Inverse Function
5:49 More Challenging Example: Find Inverse of f(x)=(2x+3)/(x-4)
7:30 Vertical Line Test and Horizontal Line Test
9:20 Verifying Functions are Inverses Using Composition of Functions
12:00 Restrict the Domain of f(x)=2x^2 - 1 so that it is a Function
13:13 What Happens to the Domain & Range when you Find Inverse

Related Videos:

Find Inverse and State Domain Restriction
https://youtu.be/psvYu7S-8NU

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Видео Inverse Functions (Complete Guide) канала Mario's Math Tutoring