Question

What is the domain of the function below?
f(x) = log (x-3) + 5
A) (- ∞ , 3 )
B) (3 , ∞ )
C) (- 3 , ∞ )
D) (- ∞ , 5 )

Answer 1

log(a) is undefined for 'a' less than or equal to 0, so what values of x would make (x-3) less than or equal to zero? The domain will have to be larger than that x value.