Composition f o g (Associative)
Composition f o g (Associative)
- f:R ? S, g:S ? T
- f o g :R ? T
- (f o g)(x) = g(f(x))
Mappings:
- Injective (1-1) f(x) = f(y) ? x = y
- Surjective (onto) ?y ?S, ? x ?R: f(x) = y
- Identity f:R ? R, f(x) = x (for all x ?R)
- Inverse f:R ?S injective and surjective
g:S ?R, g(y) = x ? f(x) = y
g = f-1