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Struggling with $(f \circ g)(x)$? In this video, we break down Composite Functions specifically for the IB DP Mathematics syllabus (AA & AI, HL/SL) and MYP5. Learn how to combine functions, find their domains, and master the "inside-out" method with Math with Lourence. 📌 Subscribe for more IB Math breakdowns: / @math_lourance 📖 What you will learn in this video: Composite functions are a cornerstone of the IB Math curriculum. Whether you are preparing for your Paper 1 or Paper 2, understanding how the output of one function becomes the input of another is crucial.In this tutorial, we cover: ✅ The definition and notation of Composite Functions $(f \circ g)(x)$. ✅ The step-by-step "Inside-Out" algebraic method. ✅ Finding the Domain and Range of composite functions (The IB Trick!). ✅ Real IB-style exam questions and common pitfalls to avoid. ✅ Graphical interpretation of composite functions. ⏳ Timestamps:0:00 Introduction to Composite Functions0:45 The "Coffee Machine" Analogy1:30 Algebraic Composition: $(f \circ g)(x)$ vs $(g \circ f)(x)$4:15 Why Order Matters (Common IB Mistakes)6:00 Finding the Domain of a Composite Function9:30 IB Exam Style Example (Paper 1)12:00 Summary & Final Tips 🎓 About Math with Lourence:This channel is dedicated to helping IB students simplify complex mathematical concepts. From Analysis and Approaches (AA) to Applications and Interpretation (AI), we cover everything you need to ace your exams with clarity and confidence.🔗 Visit the channel: / @math_lourance💬 Join the Conversation: Did this video help you? Drop a comment below if you have any questions or if there’s a specific IB topic you want me to cover next! #ibmathematics #compositefunctions #ibdp #MathWithLourence #IBRevisio #mathematics #Functions #IBMathAA #IBMathAI #studywithme #calculus