Answer:
x ∈ {0, 7} are not in the domain
Step-by-step explanation:
f(x) is undefined for x=0, so f(g(x)) will be undefined for g(x) = 0.
We are looking for the values of x that make g(x) = 0. They are the solutions to ...
x^2 -7x = 0
x(x -7) = 0
This product will be zero when either factor is zero, for ...
x = 0 . . . or . . . x = 7
The domain of f(g(x)) excludes x=0 and x=7.
