[tex]{ x | x ≥ - 2}[/tex]
To get the domain of a function, the function must output a number that is not a division by zero or a square root of a negative number.
Also the graphs seemed to be like [tex]\sqrt{x +2} -1[/tex].
If we let your graph be y
[tex]y = \sqrt{x +2} -1[/tex] This equation must be the graph.
If a function shouldn't output a square root of a negative number so it must be [tex]x +2 ≥ 0[/tex] so that there will be no negative number under the radical sign.
[tex]x +2 ≥ 0 \\ x ≥ -2[/tex]
Also we can see that the graph has no y's for x's lesser than -2
