This precalculus video tutorial explains how to decompose a composite function into two functions f(x) and g(x). This video contains plenty examples and practice problems on decomposing a composition of functions. 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