Hi,

 y = -sqrt(x+2) - 4   

Finding the Inverse (switching x for y)

 x = -sqrt(y+2) - 4

& Solving for y to finish it Up

 sqrt(y+2) =x -4   |Square both Sides

   y+2 = (x-4)(x-4)

   y + 2 = x^2 + 8x + 16

   y = x^2 + 8x + 14  for 

Domain: non-negative values for radicals: x>= -2  0r in interval Notation: [-2,∞)

Wish You the Best in your Studies.

 

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