Answer:
Domain is the half closed interval
[tex][-2,\infty)[/tex]
Step-by-step explanation:
Given is a function
[tex]y=\sqrt{4x+8}[/tex]
We are to find the domain of the function
We see that a square root sign is there. This will be real only if
4x+8 is non negative
Hence condition for domain is
[tex]4x+8\geq 0\\4x\geq -8[/tex]
We divide by 4 (a positive value) without disturbing inequality sign.
[tex]x\geq -2[/tex]
Hence domain is
[tex][-2,\infty)[/tex]
