Question

Use the graphs of f and g below to find the indicated compositions.f(g(1))=Answerg(f(0))=Answerf(f(4))=Answerg(g(0))=Answer

Answer 1

Using the definition of composite function:

$(f_{\text{ }}o_{\text{ }}g)(x)=f(g(x))$

so:

$\begin{gathered} f(g(1)) \\ g(1)=3 \\ so \\ f(g(1))=f(3)=2 \end{gathered}$

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$\begin{gathered} g(f(0)) \\ f(0)=4 \\ g(f(0))=g(4)=5 \end{gathered}$

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$\begin{gathered} f(f(4)) \\ f(4)=0 \\ f(f(4))=f(0)=4 \end{gathered}$

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$\begin{gathered} g(g(0)) \\ g(0)=2 \\ g(g(0))=g(2)=0 \end{gathered}$