Answer:
Step-by-step explanation:
Domain: the set of all permissible input values. In this particular case, x cannot be -3, because that would cause division by zero. Thus, the domain is (-∞, -3) ∪ (-3,∞)
Range: the range consists of the set of all values of y that are possible. Looking at the parent function, y = 1/x, we see that the range of that function is (-∞, 0) ∪ (0,∞); in other words, y gets close to but never actually reaches zero. This is also true of y = -1 / (x + 3).
Thus, the desired range is (-∞, 0) ∪ (0,∞).
