Answer:
The correct option is A.
Step-by-step explanation:
The vertex form of an absolute function is
[tex]g(x)=a|x-h|+k[/tex]
Where, (h,k) is vertex.
Domain is the set of input values.
The given function is
[tex]f(x)=3|x+4|+1[/tex]
It is the vertex from of an absolute function. Here h=-4 and k=1, so the vertex of the function is (-4,1).
These functions are defined for all real values of x. So, the domain of the given absolute function is all real numbers
Therefore the correct option is A.
