Question

For \(f:A\to B\) and \(g:B\to C\), what are the domain and codomain of \(g\circ f\)?

Options

• Domain \((g\circ f)=B\), codomain \(C\)

• Domain \((g\circ f)=A\), codomain \(B\)

• Domain \((g\circ f)=C\), codomain \(A\)

• Domain \((g\circ f)=A\), codomain \(C\)

Answer 1

The first function receives inputs from \(A\), and the second function produces outputs in \(C\). Therefore, the resulting function is \(g\circ f:A\to C\).