Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g(x) = x+3

To calculate the compositions of the functions, we'll
apply the rule:

(fog)(x) = f(g(x)) (f of g of
x)

It is obvious that we'll substitute x by the expression
of g(x) and we'll get:

f(g(x)) = f(x+3) =
2*(x+3)

We'll remove the brackets and we'll
have:

(fog)(x) = 2x +
6

Now, we'll
calculate  (gof)(x).

 (gof)(x) = g(f(x)) (g of f of
x)

It is obvious that we'll substitute x by the expression
of f(x) and we'll get:

g(f(x)) = g(2x) = 2x +
3

(gof)(x) = 2x +
3