we have
[tex]y=\sqrt{x+6} -7[/tex]
we know that
The radicand of the function must be greater than or equal to zero
so
[tex]x+6 \geq 0[/tex]
[tex]x\geq-6[/tex]
the solution is the interval---------> [-6,∞)
therefore
the answer is
The domain are all values of x greater than or equal to minus six
