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  1. Given a composite function and graphs of its individual functions, evaluate it using the information provided by the graphs. Locate the given input to the inner function on the x-axis of its graph. Read off the output of the inner function from the y-axis of its graph.

  2. You can use Desmos to explore composite functions. Note that f(x) and g(x) have been defined first; you can then enter a composite functions such as fg(x) and gf(x)

  3. A composite function is a function that is within another function. One function is substituted as the input to another function. For example f[ g(𝑥) ] means that g( 𝑥 ) is substituted into every 𝑥 in the function of f( 𝑥 ).

  4. Given a composite function and graphs of its individual functions, evaluate it using the information provided by the graphs. Locate the given input to the inner function on the x-x-axis of its graph. Read off the output of the inner function from the y-y-axis of its graph.

  5. Composition of Functions. The composite function f ∘ g, the composition of f and g, is defined as (f ∘ g)(x) = f(g(x)) We read the left-hand side as ‘‘f composed with g at x, ″ and the right-hand side as ‘‘f of g of x. ″ The open circle symbol ∘ is called the composition operator. It is important to correctly apply the order ...

  6. Course: Algebra II (2018 edition) > Unit 1. Lesson 2: Composing functions. Intro to composing functions. Intro to composing functions. Composing functions. Evaluating composite functions. Evaluate composite functions. Evaluating composite functions: using tables. Evaluating composite functions: using graphs.

  7. How To: Given a composite function and graphs of its individual functions, evaluate it using the information provided by the graphs. Locate the given input to the inner function on the [latex]x\text{-}[/latex] axis of its graph.

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