Respuesta :

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,∞)

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