Respuesta :

Given the functions:

[tex]\begin{gathered} f(x)=|x| \\ g(x)=x+6 \end{gathered}[/tex]

We will find (fog)(x)

So, we will substitute with g(x) into the function f(x)

[tex](f\circ g)=|x+6|[/tex]

We will find (gof)(x)

[tex](g\circ f)(x)=|x|+6[/tex]