Question

How do I solve it and what would the answer be?

Answer 1

Given the functions:

$\begin{gathered} f(x)=|x| \\ g(x)=x+6 \end{gathered}$

We will find (fog)(x)

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

$(f\circ g)=|x+6|$

We will find (gof)(x)

$(g\circ f)(x)=|x|+6$