$x=-i\sqrt{y-4}\sqrt{y+10}+5$
$x=i\sqrt{y-4}\sqrt{y+10}+5$

$y=-i\sqrt{x-12}\sqrt{x+2}-3$
$y=i\sqrt{x-12}\sqrt{x+2}-3$

$x=-\sqrt{\left(4-y\right)\left(y+10\right)}+5$
$x=\sqrt{\left(4-y\right)\left(y+10\right)}+5\text{, }y\geq -10\text{ and }y\leq 4$

$y=-\left(\sqrt{\left(12-x\right)\left(x+2\right)}+3\right)$
$y=\sqrt{\left(12-x\right)\left(x+2\right)}-3\text{, }x\geq -2\text{ and }x\leq 12$