Composition Order Matters
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State
Function composition is not commutative and is not multiplication: f(g(x)), g(f(x)), and f(x) · g(x) are three different things.
Show
For f(x) = x² and g(x) = x + 1 at 2: f(g(2)) = 9, g(f(2)) = 5, and f(2) · g(2) = 12 — three wirings, three answers.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.