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ACT Preparation / Unit 10   ACT 0915 short lesson, about 20 seconds

Composition

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The idea

The composition (f ∘ g)(x) = f(g(x)): apply g first, then apply f to the result. Order matters.

In practice

f(x) = x + 3, g(x) = 2x: f(g(5)) = f(10) = 13, but g(f(5)) = g(8) = 16.

Where people slip

Work from the inside out; the function written last is applied first.

Your place on the trail

Every lesson rests on earlier ones and opens later ones. Tap any to jump.

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