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.
  • B
    Neither $f$ nor $g$ is injective.
  • C
    $f$ is necessarily injective.
  • D
    $g$ is necessarily injective.

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