Find the inverse function of this piecewise function... (1 Viewer)

[Utility]

y = { 0 when x <= 0
{ x when 0 < = x

 

[asianese]

There will be no inverse function for y=0 since you'll have x=0 which is a vertical line (doesn't satisfy function requirement since it has infinitely many y for x=0). Inverse of y=x is x=y, so y=x for x<0. Your domains don't really work. You have an overlap.

 

[braintic]

Your domains don't really work. You have an overlap.

The point (0,0) is simply defined twice. That is not a problem - it is still a function.

 

[asianese]

I guess in this situation it is fine, but usually we should be exclusive about the domains on which such functions are defined.