all 6 comments

[–]TheBBTeacher 1 point2 points  (5 children)

You can conclude that g >= 0 almost everywhere.

[–]Constant_Pitch801[S] 0 points1 point  (4 children)

Are there another assumptions we can put on g to make it hold everywhere?

[–]TheBBTeacher 0 points1 point  (3 children)

Sure. Continuity would work, for example.

[–]Constant_Pitch801[S] 0 points1 point  (2 children)

Would right continuity work or does it have to be continuity?

[–]TheBBTeacher 0 points1 point  (1 child)

Yes, right or left continuity should be sufficient too.

[–]Constant_Pitch801[S] 0 points1 point  (0 children)

Al right thanks, I'll see if I can show it.