Given data:
The first function given is f(x)=x+5.
The second function given is g(x)=-x^2-5x.
The expression for f(g(x)) is,
[tex]\begin{gathered} f(g(x))=f(-x^2-5x) \\ \text{ =-x}^2-5x+5 \end{gathered}[/tex]Substitute -4 for x in the above expression.
[tex]\begin{gathered} f(g(-4))=-(-4)^2-5(-4)+5 \\ =-16+20+5 \\ =9 \end{gathered}[/tex]Thus, the value of f(g(-4)) is 9.
