Precálculo - 9 Operaciones con funciones

🔄 Operations with Functions: Addition, Subtraction, Multiplication, and Division | Precalculus Did you know that functions can be added, subtracted, multiplied, and divided? In this video, we explore basic operations between functions, showing how they are performed algebraically and how they affect graphs, working with the heights of functions for each value of x. 🎯 In this video you will learn: Addition of functions: (f + g)(x) = f(x) + g(x) Subtraction of functions: (f - g)(x) = f(x) - g(x) Multiplication of functions: (f · g)(x) = f(x) · g(x) Division of functions: (f / g)(x) = f(x) / g(x), when g(x) ≠ 0 Graphical interpretation: How the heights of the graphs combine at each value of x Visual example in GeoGebra: Observe how the graph changes when performing these operations with two functions Brief mention of composition: The composition f(g(x)) is mentioned without a geometric interpretation, leaving it for a future university course 📐 Applications: These operations are fundamental in mathematical modeling, physics, engineering, and economics, where different phenomena or relationships are often combined. 👨‍🏫 Visual and practical approach: Clear explanations with graphical examples in GeoGebra. Ideal for high school students. 🔔 Was the video helpful? Subscribe and activate the bell so you don't miss future videos. Master operations with functions and their impact on graphs! #OperationsWithFunctions #AddingFunctions #GeoGebra #Precalculus #Math #LearnMath