We have the next functions
[tex]\begin{gathered} f(x)=\sqrt[]{x}+2 \\ g(x)=x^2+9 \end{gathered}[/tex]
For f(g(x))
[tex]f(g(x))=\sqrt[]{x^2+9}+2[/tex]
For g(f(x))
[tex]\begin{gathered} g(f(x))=(\sqrt[]{x}+2)^2+9 \\ g(f(x))=x+4\sqrt[]{x}+4+9 \\ g(f(x))=x+4\sqrt[]{x}+13 \end{gathered}[/tex]
ANSWER
[tex]f(g(x))=\sqrt[]{x^2+9}+2[/tex][tex]g(f(x))=x+4\sqrt[]{x}+13[/tex]
