What is the domain of the function below? f(x) = log(x - 4) + 4 A: (-infinate, 4) B: [4, infinate) C: (-4, infinate) D: (4, infinate)

Question

asked Jul 14, 2019 58.8k views

1 Answer

Tobey Blaber · Answer 1 · 2019-07-21T04:28:54+0000

The logarithm is defined only when its argument is (strictly) positive. So, you must impose

x-4>0

Just add 4 to both sides to get

x > 4

So, the domain is composed by all numbers greater than 4 (excluded), which is represented by the interval

$(4, \infty)$