Respuesta :
[tex]\log(x-4)+4\\\\\text{the domain:}\\\\x-4 > 0\ \ \ |+4\\\\x > 4\to x\in(4;\ \infty)[/tex]
the log of 0 is not defined, so the criterion to use here is that the input to the log function must be greater than zero.
Thus, x-4 ≥ 0, or x ≥ 4 (answer)
Thus, x-4 ≥ 0, or x ≥ 4 (answer)