If we have a function f: A, B, there may exist an inverse function f-1: B→ A, which is defined by the rule f - (b) = a where b = (a). This definition only works if each b ≤ B an image point under f and if there is only ca point a such that of (a) = b. What do the functions or mappings are called?
- Cardinality
- Injection
- Bijection
- None of these
Explanation
A bijection is a function that's both:
Injective (one-to-one): each b ∈ B is mapped to at most one a ∈ A
Surjective (onto): each b ∈ B is mapped to at least one a ∈ A
Combining these, each b ∈ B is mapped to exactly one a ∈ A, making it invertible.
Last verified on 23-03-2026
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