College Algebra / Alg 273 · Atom · ~20 seconds
The Algebra of Functions
Video not yet published
to the StudyWalks catalog
to the StudyWalks catalog
State
Functions combine pointwise by the four operations: (f + g)(x) = f(x) + g(x), likewise the other three.
Show
For f(x) = x² and g(x) = x + 1 at 2: (f + g)(2) = 4 + 3 = 7, and (fg)(2) = 4 · 3 = 12.
Watch for
The quotient's domain drops g's zeros.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.