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What is the domain of the function


g(x)=3log2(x−1)+4 ?


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All real numbers greater than

Respuesta :

Here we have function

[tex]g(x)=3log_{2}(x-1)+2[/tex]

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

[tex]x-1> 0[/tex]

[tex]x>1[/tex]

hence the domain is all real number greater than 1

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