Answer:
Domain- [-4,∞) ; Range- [-2,∞)
Step-by-step explanation:
[tex]y=\sqrt{x+4} -2[/tex]
For Domain, we need to find the range of value for x,
As the value for x+4 should be positive or 0 because it is under the square root bracket sign.
[tex]x+4\geq 0[/tex]
[tex]x\geq -4[/tex]
x ∈ [-4,∞)
For the range of values, we need to find all the possible value of y
As the value given by the square root will always be greater than equal to 0.
[tex]\sqrt{x+4}\geq 0[/tex]
[tex]\sqrt{x+4} -2\geq -2[/tex]
Therefore ,
y ∈ [-2,∞)