Introduction to Inverse Functions

This algebra video tutorial provides a basic introduction into inverse functions. it explains how to find the inverse function by switching the x and y variables. It also explains how to prove if two functions are inverses of each by checking to see if the composite functions of f(g(x)) and g(f(x)) are equal to x. In addition, it explains how to graph the inverse function around the line y=x. Finally, it highlights the difference between the vertical line test and the horizontal line test as it relates to one to one functions and inverse functions. The vertical line test tells if a relation is a function. The horizontal line test tells you if the function is one to one and if the inverse relation is a function. Introduction to Functions: https://www.youtube.com/watch?v=DrEXTC6mIO8 Evaluating Functions: https://www.youtube.com/watch?v=HyNie_PYgsY Function Operations: https://www.youtube.com/watch?v=3gaxVHVI4cI Increasing and Decreasing Functions: https://www.youtube.com/watch?v=Dyl7jPlJXOM Relative Maximum & Minimum Values: https://www.youtube.com/watch?v=GaltHJF6WyI _____________________________________ Relations and Functions: https://www.youtube.com/watch?v=wbBY2tTqXDA Domain and Range From a Graph: https://www.youtube.com/watch?v=KirGQOwjBVI How To Find The Domain of a Function: https://www.youtube.com/watch?v=djT6-YamHaA Average Rate of Change of a Function: https://www.youtube.com/watch?v=f_Q0qlwlclQ The Difference Quotient of a Function: https://www.youtube.com/watch?v=qQgVomi8lCc _____________________________________ Evaluating Piecewise Functions: https://www.youtube.com/watch?v=OYOXMyFKotc Graphing Piecewise Functions: https://www.youtube.com/watch?v=Uzw9tsGq2Pw Composite Functions: https://www.youtube.com/watch?v=ZFPkQkURSxk How To Evaluate Composite Functions: https://www.youtube.com/watch?v=6vQxIG4lJ3w Composite Functions - Data Table: https://www.youtube.com/watch?v=6vQxIG4lJ3w Comp. of 3 Functions - Data Table: https://www.youtube.com/watch?v=Ote1KvW6BXw Decomposing Functions: https://www.youtube.com/watch?v=NmfaC7etZms _________________________________ Introduction to Inverse Functions: https://www.youtube.com/watch?v=TN4ybFiuV3k How To Find The Inverse of a Function: https://www.youtube.com/watch?v=2zeYEx4eTdc Verifying Inverse Functions: https://www.youtube.com/watch?v=6QamgSPprjA Horizontal Line Test - 1 to 1 Functions: https://www.youtube.com/watch?v=6u9Qh1Vi_Qw Vertical Line Test: https://www.youtube.com/watch?v=Mxe2lX1htNk Graphing Inverse Functions: https://www.youtube.com/watch?v=ukEtad_aml4 Composite and Inverse Functions: https://www.youtube.com/watch?v=GEgFmxxOJno __________________________________ Even and Odd Functions: https://www.youtube.com/watch?v=fKyBOLsqRlo Transformations of Functions: https://www.youtube.com/watch?v=Tmdrjs9xufc Linear Functions: https://www.youtube.com/watch?v=BtcKotD6Ni8 Functions and Graphs - Problems: https://www.youtube.com/watch?v=kvU9sOzT2mk Functions - Test Review: https://www.youtube.com/watch?v=1xATmTI-YY8 ______________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections