Provide all the inverses of the function $g(x)=x^2+4x+7$ , and identify their domains.

$g^{-1}(x)=-2+\sqrt{x-3},domain:x\ge3$

$g^{-1}(x)=-2-\sqrt{x-3},domain:x\ge3$

$g^{-1}(x)=-2+\sqrt{x-7},domain:x\ge7$

$g^{-1}(x)=-2-\sqrt{x-7},domain:x\ge7$

$g^{-1}(x)=-2+\sqrt{x-5},domain:x\ge5$

$g^{-1}(x)=-2-\sqrt{x-5},domain:x\ge5$

$g^{-1}(x)=-2+\sqrt{x-1},domain:x\ge1$

$g^{-1}(x)=-2-\sqrt{x-1},domain:x\ge1$