Final answer:
The value of f(g(0)) is 50.
Step-by-step explanation:
To find the value of f(g(0)), we need to substitute the value 0 into the function g(x) and then use the result to substitute into the function f(x).
First, we find g(0) by substituting 0 into the function g(x):
g(0) = 7 - 0^2 = 7 - 0 = 7
Now, we can substitute the value of g(0) into the function f(x):
f(g(0)) = f(7) = 8(7) - 6 = 56 - 6 = 50