Respuesta :

The given function:

f(x) = x - 3

[tex](f\circ f)\text{ = f(f(x))}[/tex]

Substitute x = f(x) in the expression:

[tex]\begin{gathered} (f\circ f)\text{ = f(f(x))} \\ (f\circ f)\text{ =f(x-3)} \\ (f\circ f)\text{ =(x}-3)-3 \\ (f\circ f)\text{ =x}-3-3 \\ (f\circ f)\text{ =x}-6 \end{gathered}[/tex]

For

[tex](f\circ f)(10)[/tex]

Substitute x = 10 in the expression of (fof)

[tex]\begin{gathered} (f\circ f)(x)=x-6 \\ (f\circ f)(x)=10-6 \\ (f\circ f)(x)=4 \end{gathered}[/tex]

Answer: (fof)(10)