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Simplifying f(g(x)) with FOIL | Function Composition Explained (Circle Symbol ○ is Binary Operation)
Simplifying function composition is a major skill in Precalculus, including in Stewart’s textbook (Chapter 2) and most Unit 2 reviews. In this 60-second clip from a longer lesson, I simplify (f ○ g)(x) = f(g(x)), where f(x) = x² + 2x – 3 and g(x) = –3x + 2. I substitute g(x) into f, then use the FOIL method and the distributive property to expand and simplify. This is a classic algebra and precalculus skill that shows up in:
• unit tests
• cumulative exams
• ACT/SAT algebra prep
• calculus readiness topics
In the video, I explain why the circle symbol (○) is used to denote a binary operation on functions, how to mentally FOIL (–3x + 2)², how to combine like terms correctly, and why the final simplified expression becomes: 9x² – 18x + 5
This is part of my ongoing precalculus review series, building strong algebra foundations for success in later calculus chapters.
📖 No-Nonsense Algebra: https://amzn.to/4hV5c3j.
SIMPLIFY f(-3x+2) when f is a QUADRATIC Function | Circle Symbol ○ is BINARY OPERATION on Functions
#FunctionComposition #PrecalculusReview #FOILMethod #SimplifyingFunctions #fOfg #AlgebraSkills #StewartPrecalculus #MathShorts #BinaryOperation #CircleSymbol #CompositeFunctions #PrecalculusExamPrep
Links and resources
===============================
🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinneymath?sub_confirmation=1
🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/
🔴 Follow me on Twitter: https://twitter.com/billkinneymath
🔴 Follow me on Instagram: https://www.instagram.com/billkinneymath/
🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA.
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🔴 Desiring God website: https://www.desiringgod.org/
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Видео Simplifying f(g(x)) with FOIL | Function Composition Explained (Circle Symbol ○ is Binary Operation) канала Bill Kinney
• unit tests
• cumulative exams
• ACT/SAT algebra prep
• calculus readiness topics
In the video, I explain why the circle symbol (○) is used to denote a binary operation on functions, how to mentally FOIL (–3x + 2)², how to combine like terms correctly, and why the final simplified expression becomes: 9x² – 18x + 5
This is part of my ongoing precalculus review series, building strong algebra foundations for success in later calculus chapters.
📖 No-Nonsense Algebra: https://amzn.to/4hV5c3j.
SIMPLIFY f(-3x+2) when f is a QUADRATIC Function | Circle Symbol ○ is BINARY OPERATION on Functions
#FunctionComposition #PrecalculusReview #FOILMethod #SimplifyingFunctions #fOfg #AlgebraSkills #StewartPrecalculus #MathShorts #BinaryOperation #CircleSymbol #CompositeFunctions #PrecalculusExamPrep
Links and resources
===============================
🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinneymath?sub_confirmation=1
🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/
🔴 Follow me on Twitter: https://twitter.com/billkinneymath
🔴 Follow me on Instagram: https://www.instagram.com/billkinneymath/
🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA.
🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/
🔴 Desiring God website: https://www.desiringgod.org/
AMAZON ASSOCIATE
As an Amazon Associate I earn from qualifying purchases.
Видео Simplifying f(g(x)) with FOIL | Function Composition Explained (Circle Symbol ○ is Binary Operation) канала Bill Kinney
function composition composite function f of g f(g(x)) FOIL method algebra simplify composite functions precalculus unit 2 review Stewart precalculus chapter 2 algebra review simplifying quadratics substituting expressions algebra math shorts binary operation functions circle symbol function composition distributive property algebra composite function example evaluate f(g(x)) precalculus help ACT algebra review SAT algebra review high school precalculus
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11 декабря 2025 г. 20:43:08
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