Answer: The correct option is B, i.e., x – 4; all real numbers except x ≠ –4.
Step-by-step explanation:
It is given that,


We have to find the function
.

Using



Hence the fountain
is (x-4).
The domain of
is the intersection of domain of both function except the the values for which the value of denominator function 0.
Since the domain of f(x) and g(x) is all real numbers but the g(x) is 0 at x=-4, therefore the domain of
is all real numbers except x ≠ –4.
Therefore, the correct option is B.