[tex]\begin{gathered} f(x)=x-2 \\ g(x)=5x+3 \end{gathered}[/tex][tex]\begin{gathered} f(g(x))=f(g(x))=5x-2+3 \\ f(g(4))=21 \end{gathered}[/tex]
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[tex]\begin{gathered} g(f(x))=g(f(x))=5x-10+3 \\ g(f(3))=8 \end{gathered}[/tex]
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[tex]\begin{gathered} f(g(x))=f(g(x))=5x-2+3 \\ f(g(2))=11 \end{gathered}[/tex]
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[tex]\begin{gathered} g(f(x))=g(f(x))=5x-10+3 \\ g(f(-4))=-27 \end{gathered}[/tex]
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[tex]f(g(x))=f(g(x))=5x-2+3=5x-1[/tex]