Answer:
[tex]\begin{gathered} (f.g)(n)=4(n+1)^2\text{ } \\ OR \\ 4n^2+8n+4 \end{gathered}[/tex]Explanation:
Given the functions:
[tex]\begin{gathered} f(n)=-n-1 \\ g(n)=-4n-4 \\ \\ We\text{ want to find} \\ (f.g)(n) \end{gathered}[/tex]This, we only need to multiply the two given functions because:
[tex]\begin{gathered} (f.g)(n)=f(n)g(n) \\ \\ =(-n-1)(-4n-4) \\ =-(n+1).(-4)(n+1) \\ =4(n+1)(n+1) \\ =4(n+1)^2 \\ OR \\ 4(n^2+2n+1) \\ =4n^2+8n+4 \end{gathered}[/tex]