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College Algebra / Unit 5   Alg 275 short lesson, about 20 seconds

Function Composition

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The idea

Function composition feeds one function's output into another as input: (f ∘ g)(x) = f(g(x)), reading inside out.

In practice

For f(x) = x² and g(x) = x + 1: f(g(2)) runs g first — g(2) = 3 — then f: f(3) = 9. Two machines, one assembly line.

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