Answer:
Statement b is true; statement a is false
Step-by-step explanation:
Best to write out (f o g)(x) and then determine its domain:
"(f o g)(x)" indicates that g(x) is used as the input to f(x):
(f o g)(x) = 5(√x+6) + 7, or 5√x + 30 + 7, or 5√x + 37.
The domain of this composite function is [0, infinity).
Thus, statement b is true: "9 is part of the domain of (f o g)(x) = 5(√x+6) + 7"
