Find the inverse of the function y = - 2/x-5

y = - 2/x-5

y+5=-2/x

(y+5) / (-2) = 1/x

x = (-2) / (y+5),

and now instead of x write y, and instead of y write x

y = (-2) / (x+5)

y = (-2) / (x+5) is the inverse of the function y = - 2/x-5