Question

What is the domain of the this function?

Answer 1

The domain is found within the set of parenthesis.  The starting point of that graph has moved from the origin to (4, 4), therefore, the domain is x is greater than or equal to 4.

Answer 2

Answer:

Hi I´ll help you with this

Remember that the logarithms (log) are just defined when (x) is >0

for example logx is just defined when x>0

So, to obtain the domain of the function log(x-4)+4 , we need to know where the function is defined, and we obtain the result by doing the next steps

x-4>0

x>4

So the answer is that the given function is defined when x>4 or it can be written as (4,∞)

I hope this explanaition helped you