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

f(x) =
2x

g(x) = x +
3

First let us find (fog)(x)

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

             = f(x+3)

               = 2(x+3)

               = 2x +
6

==> (fog)(x) = 2x +
6

Now let us
find (gof)(x):

(gof)(x) = g(f(x)

            =
g(2x)

           = 2x + 3

==> (gof)(x)
=
2x + 3