Final answer:
The domain of the function f(x) = 9 / (x+5) includes all real numbers except for -5, since the function is undefined when the denominator is zero.
Step-by-step explanation:
The domain of a function includes all the possible input values (x-values) for which the function is defined. For the function f(x) = 9 / (x+5), the denominator cannot be zero because division by zero is undefined. Therefore, the only restriction on the domain is that x cannot be equal to -5.
To express the domain in words, we would say that the domain of f(x) = 9 / (x+5) consists of all real numbers except for -5. This is because at x = -5, the denominator of the fraction becomes zero, which would make the function undefined.
Putting this into mathematical terms, the domain is all real numbers x such that x ≠ -5.