Question

What is the domain of the function g(x) = 3log2(x−1)+4 ?

Answer 1

`{x:x in R and x > 1}`

Explanation:

Since you cannot have a log to a result which is either negative or 0 (that is, you cannot raise a number to any exponent which gives a result `<=` 0), we know that `x-1>0`.

Hence, adding 1 to each side, the domain is `x>1` (and `x in R`).