Lecture 15 | Function Composition | Combining & Decomposing Functions

What happens when you put one function inside another? This video explains composite functions and the process of function composition . We start by combining functions using basic algebraic operations (addition, subtraction, multiplication, and division) and then move into the composition operator (f∘g) . You’ll also learn the critical step of finding the domain of a composite function and how to decompose complex functions back into their simpler parts . Key Topics: Algebraic Operations on Functions Understanding the Composition Operator Evaluating f(g(x)) from Tables and Graphs Domain Restrictions for Composite Functions Decomposing Functions ___________________________________________________________________________ This video is based on open educational resources, including materials from publicly available academic textbooks. I do not claim ownership of any original textbook content, figures, or structured materials referenced in this video. This content is explanation of the topic in simplified form, intended to help students understand the concepts in a more intuitive and accessible way. This video is not a substitute for the original textbooks and is not intended to infringe on any copyright. All credit goes to the respective authors and publishers.