Let: \( f: A \rightarrow B \) and \( g: B \rightarrow C \) be two functions and \( g \circ f: A ... VIDEO
Let: \( f: A \rightarrow B \) and \( g: B \rightarrow C \) be two functions and \( g \circ f: A \rightarrow C \) is defined. Then which of the following statement(s) is (are) incorrect?
(a) If \( g \circ f \) is onto then \( f \) must be onto
(b) If \( f \) is into and \( g \) is onto then \( g \circ f \) must be onto function.
(c) If \( g \circ f \) is one-one then \( g \) is not necessarily one-one.
(d) If \( f \) is injective and \( g \) is surjective then \( g \circ f \) must be bijective mapping
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