domain and range?

Question

state the domain and range of the function:

g(x) = log(sub 3)(2 - x)

Answer 1

When considering the domain and range of a function, concentrate on the possible exclusions. For instance, can the log of a negative number be calculated? If not, then solve the following inequality:
(2 - x) < 0
- x < - 2
x > 2.
All values greater than 2 must be excluded from the domain.
The domain would be all Real numbers less than or equal to two, expressed as an interval, (- ∞, 2].

Similarly, are there any restrictions on the values of the log function? Can the results be positive, zero, negative? If there are no exclusions, the range would be all Real numbers.

Answer 2

o and negative numbers don´t have log so
2-x>0 and x<2 strictly( cant be = 2)
so D is all real numbers < 2
R from -infinity to + infinity