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. Timestamps: 00:00 Intro 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    • Find Inverse and State Domain Restriction   Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below) https://www.mariosmathtutoring.com/fr... ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, and PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)    / @mariosmathtutoring