Using it's concept, the correct option regarding the domain of function g is given by:
B) {x belongs to the real set and x >= 7}.
What is the domain of a function?
The domain of a function is the set that contains all possible input values for the function.
In this problem, the function is given by:
[tex]f(x) = \frac{\sqrt{x - 7}}{(x + 1)(x - 2)}[/tex]
In the numerator, the term inside the square root cannot be negative, hence:
x - 7 >= 0 -> x >= 7.
In the denominator, it cannot be zero, hence:
The intersection of these three conditions is x equals or greater than 7, hence the correct option is given by:
B) {x belongs to the real set and x >= 7}.
More can be learned about the domain of a function at https://brainly.com/question/10891721
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