Question

Help! I'll give brainliest to the first correct answer! ​

Answer 1

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,∞).