The values of the composite functions are (f o g)(x) = x and (g o f)(x) = x
The functions (f o g)(x) and (g o f)(x) are composite functions
How to evaluate the composite function
From the question, we have the following parameters that can be used in our computation:
f(x) = 1/2x + 12
g(x) = 2x - 24
So, we have
(f o g)(x) = f(g(x))
(f o g)(x) = 1/2 * (2x - 24) + 12
Evaluate
(f o g)(x) = x - 124 + 12
This gives
(f o g)(x) = x
Next, we have
(g o f)(x) = 2 * (1/2x + 12) - 24
(g o f)(x) = x + 24 - 24
(g o f)(x) = x
Hence, the functions (f o g)(x) and (g o f)(x) are composite functions