Respuesta :
Answer:
Domain = [-3,∞)
Range : (-∞,-2]
Step-by-step explanation:
Given : [tex]y=-\sqrt{x+3}-2[/tex]
To Find: What are the domain and range of the function ?
Solution:
[tex]y=-\sqrt{x+3}-2[/tex]
For Domain:
[tex]x+3\geq 0[/tex]
[tex]x\geq -3[/tex]
So, Domain = [-3,∞)
For range :
[tex]\sqrt{x}\geq 0[/tex]
[tex]\sqrt{x+3}\geq 0[/tex]
[tex]-\sqrt{x+3}\leq 0[/tex]
[tex]-\sqrt{x+3}-2\leq 0-2[/tex]
[tex]y\leq -2[/tex]
So, Range : (-∞,-2]
