Question

What is the domain of the function log(x-4) +4?

Answer 1

`\log(x-4)+4\\\\\text{the domain:}\\\\x-4 > 0\ \ \ |+4\\\\x > 4\to x\in(4;\ \infty)`

Answer 2

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)