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Consider functions f and g such that com...

Consider functions f and g such that composite gof is defined and is one-one.Are f and g both necessarily one-one.

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To determine whether both functions \( f \) and \( g \) must be one-one (injective) given that the composite function \( g \circ f \) is defined and one-one, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding One-One Functions**: A function \( f: A \to B \) is called one-one (or injective) if \( f(x_1) = f(x_2) \) implies \( x_1 = x_2 \) for all \( x_1, x_2 \in A \). 2. **Composite Function**: ...
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