If we have two funcions, f(x) and g(x), fog is f(g(x)). In other words, we substitute the x in the first function for g(x).
In your question:
[tex]\begin{gathered} g(x)=x^2+2 \\ h(x)=\frac{x+2}{5} \end{gathered}[/tex]
hog(x) = h(g(x))
[tex]\begin{gathered} h(x)=\frac{x+2}{5} \\ hog(x)=h(g(x))=\frac{g(x)+2}{5} \\ hog(x)=\frac{(x^2+2)+2}{5} \\ hog(x)=\frac{x^2+4}{5} \\ \end{gathered}[/tex]
