Functions:Operations
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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.
| Name | Notation | Domain |
|---|---|---|
| Addition | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (f+g)(x) = f(x) + g(x)} | domain f ∩ domain g |
| Subtraction | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (f-g)(x) = f(x) - g(x)} | domain f ∩ domain g |
| Product | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (f \cdot g)(x) = f(x) \cdot g(x)} | domain f ∪ domain g |
| Division | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left( \dfrac{f}{g} \right)(x) = \dfrac{f(x)}{g(x)}} | domain f ∪ domain g \ {a : g(a) = 0} |
| Composition | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f \circ g(x) = f(g(x))} | domain g ∪ {g(x) : f(g(x)) ∈ domain f} |
Licensing
Content obtained and/or adapted from:
- Functions, Wikibooks: Real Analysis under a CC BY-SA license
