Answer :
For:
[tex]f(x)=log(x+5)[/tex]
Then the domain is:
[tex]\boxed{(-5, \infty)}[/tex]
Explanation:
The domain of a function is the set of inputs, that is, all the x-values for which the function is defined. Here in this problem, you haven't provided any function, so I couldn't give you an exact answer. However, suppose your function is the following:
[tex]f(x)=log(x+5)[/tex]
The domain of this function can be found as:
[tex]x+5>0 \\ \\ x>-5[/tex]
This is so because the logarithmic function is not defined when its argument is less than or equal to 0. Therefore, using interval notation we have that the domain is:
[tex]\boxed{(-5, \infty)}[/tex]
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