Question

Find the Domain and Range (show work)

Answer 1

see attached picture for solutions:

Answer 2

Domain: {x| x ≠ -4, x ∈ R} or (-∞,-4)∪(-4,∞)
Solving: your denominator cannot equal zero so solve this x + 4 ≠ 0 

Range: (f(x) | f(x) ≥ 0} or [0, ∞)
Solving you can get zero because x = 0 gives you zero
but when you test other numbers in your domain like x = -2 and x = 2 you only get positive results. Therefore your range is all real non-negative numbers.