The given function is a logrithmic function:
f(x) = ㏒(x+6) - 4
From the graph of the function, we can clearly see that the function is undefined at x=6.
Therefore,
The domain will the x-values greater than 6.
D: x > 6 | x belongs to the real numbers.
The range from the graph will be all y-values which are set of real numbers.
Hence,
The best answer choice is :
x > 6; range: all real numbers
