Khanh at 02:49, 15 November 2021

2021-11-15T02:49:47Z

Lila: Created page with "===Operations=== Functions obey many of the same operations as normal numbers. However, one key difference is the domain of the function, which may change depending on the ope..."

2021-10-20T00:28:17Z

Created page with "===Operations=== Functions obey many of the same operations as normal numbers. However, one key difference is the domain of the function, which may change depending on the ope..."

New page

===Operations===
Functions obey many of the same operations as normal numbers. However, one key difference is the domain of the function, which may change depending on the operator.

{| class="wikitable" style="margin-left: 5%; margin-right: 5%;"
|+ List of Operations for Functions
! width=20% | Name
! width=60% | Notation
! width=20% | Domain
|-
| Addition || <math>(f+g)(x) = f(x) + g(x)</math> || domain f ∩ domain g
|-
| Subtraction || <math>(f-g)(x) = f(x) - g(x)</math> || domain f ∩ domain g
|-
| Product || <math>(f \cdot g)(x) = f(x) \cdot g(x)</math> || domain f ∪ domain g
|-
| Division || <math>\left( \dfrac{f}{g} \right)(x) = \dfrac{f(x)}{g(x)}</math> || domain f ∪ domain g \ {a : g(a) = 0}
|-
| Composition|| <math>f \circ g(x) = f(g(x))</math> || domain g ∪ {g(x) : f(g(x)) ∈ domain f}
|}

==Resources==
* [https://en.wikibooks.org/wiki/Real_Analysis/Functions Functions], Wikibooks: Real Analysis

@@ Line 19: / Line 19: @@
 |}
-==Resources==
+== Licensing ==
-* [https://en.wikibooks.org/wiki/Real_Analysis/Functions Functions], Wikibooks: Real Analysis
+Content obtained and/or adapted from:

Functions:Operations - Revision history

Khanh at 02:49, 15 November 2021

Lila: Created page with "===Operations=== Functions obey many of the same operations as normal numbers. However, one key difference is the domain of the function, which may change depending on the ope..."