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

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1 Answer
Dec 15, 2017

{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).