****college algebra****
posted by Brianna on .
Let g(x) = 2x + 8 and h(x) = 3x + 4. For what value of x is composition (g o h)(x) = (h o g)(x). If no such value exists, type in DNE in the space provided.

Calculate the two separate functions (g o h)(x) and (h o g)(x).
Some textbooks would write them as
g{f(x)] and f{g(x)}
g{f(x)} = 2(3x+4)+8 = 6 x
f{g(x)} = 3(2x+8) +4 = 6 x +28
Then set them equal and solve for x.
DNE in this case.