Question
Suppose $f: A \rightarrow B$ and $g: B \rightarrow C .$ Show that if $f$ and $g$ are onto, then $g \circ f$ is onto.
Step 1
This means that for every element $b$ in $B$, there exists an element $a$ in $A$ such that $f(a) = b$. Similarly, for every element $c$ in $C$, there exists an element $b$ in $B$ such that $g(b) = c$. Show more…
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