College Algebra / Unit 5 Alg 273 short lesson, about 20 seconds
The Algebra of Functions
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The idea
Functions combine pointwise by the four operations: (f + g)(x) = f(x) + g(x), likewise the other three.
In practice
For f(x) = x² and g(x) = x + 1 at 2: (f + g)(2) = 4 + 3 = 7, and (fg)(2) = 4 · 3 = 12.
Where people slip
The quotient's domain drops g's zeros.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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