Question

What is the domain of the function

g(x)=3log2(x−1)+4 ?


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All real numbers greater than

Answer 1

Here we have function

`g(x)=3log_(2)(x-1)+2`

Domain is the set of values for which the function is defined ( should have finite value)

Let us find the value of x for which g(x) is not defined

g(x) is logarithmic function and log of 0 and negative numbers are not defined,

so we have

`x-1> 0`

`x>1`

hence the domain is all real number greater than 1