Compose two functions with an undefined x

In this algebra lesson, we are taking Function Composition to the next level by learning how to compose two functions when the input is an undefined variable $x$. I’ll show you my "secret weapon" for substitution—treating the outer function like a template with open parentheses—and walk you through the process of simplifying the resulting expression. What we’ll cover in this video: 0:00 The difference between $f(3)$ and $f(g(x))$ 0:25 Pro-Tip: Why "Open Parentheses" are your best friend in composition 0:45 Step 1: Setting up the outer function template 1:10 Step 2: "Plugging and Chugging" the inner function $g(x)$ 1:40 Simplifying the expression (Distribution and combining terms) 2:30 Final Calculation and Solution By the end of this tutorial, you’ll be able to confidently compose functions with variables and understand exactly how to handle nested expressions without getting lost in the algebra! #FunctionComposition #Algebra2 #CompositeFunctions #MathTutorial #AlgebraHelp #MrDougMath #CollegeAlgebra Learn More Here: SUPPORT the channel by hitting the SUBSCRIBE button and turning on notifications to stay on top of your math game! If this lesson helped you clear up your confusion about composing functions, give it a LIKE to help other students find this video.