Let $S, T, U$ be three non-void sets and $f: S \rightarrow T, g: T \rightarrow U$ and the composed mapping $g \circ f: S \rightarrow U$ be defined. If $g \circ f$ is an injective mapping, then:
- A$f$ and $g$ are both injective.
- BNeither $f$ nor $g$ is injective.
- C$f$ is necessarily injective.
- D$g$ is necessarily injective.
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