Pc 1.8 notes
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The document defines composite functions as functions composed of other functions. Specifically, it defines a composite function f(g(x)) as taking the output of g(x) and plugging it into f. Similarly, g(f(x)) takes the output of f(x) and plugs it into g. Examples are provided to illustrate calculating composite functions. The homework assigned is to practice evaluating composite functions with index cards and online practice problems.
Pc 1.8 notes
- 1. 1.8 Composite Functions Essential Question: What does f(g(x)) mean? 1
- 2. 1.8 Combination of Functions: Composite Functions Given: f(x) and g(x) (f+g)(x) = f + g = f(x) + g(x) (f-g)(x) = f - g = f(x) - g(x) (f∙ g)(x) = fg = f(x) ∙ g(x) (f/g)(x) = f/g = f(x) ÷ g(x); g(x) ≠ 0 2
- 4. Composite Functions (f o g)(x) = f(g(x)) Plug g(x) into f. (g o f)(x) = g(f(x)) Plug f(x) into g. 4
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