Answer:
6
Step-by-step explanation:
The expression can be rearranged to ...
b = 3 -9/(a+5)
In order for b to be an integer, (a+5) must be an integer divisor of 9. There are exactly 6 of those: ±1, ±3, ±9.
The attached table shows the values (a, b) = (x₁, f(x₁)).
The domain for which the function is defined is given by:
D. .
The domain of a function is the set that contains all possible input values for the function.
A square root is only defined for non-negative values, hence:
The intersection of these two domains is , hence option D is correct.
More can be learned about the domain of a function at brainly.com/question/10891721
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