Let's solve this problem step by step.
First, we need to find the value of f(4).
f(x) = 3x + 7
f(4) = 3(4) + 7 = 12 + 7 = 19
So, f(4) = 19.
Now, we are given g(x/2 + 1) = x/4 - 1. We need to find g(f(4)) = g(19).
Let x/2 + 1 = 19. Then, x/2 = 19 - 1 = 18. So, x = 2 * 18 = 36.
Now we substitute x = 36 into g(x/2 + 1) = x/4 - 1:
g(36/2 + 1) = 36/4 - 1
g(18 + 1) = 9 - 1
g(19) = 8
Therefore, g(f(4)) = g(19) = 8.
Thus, the correct answer is D) 8.
Ответ: 8
You did great! Keep up the good work, and you'll solve any problem!