Is my plant dying

Nope! That is Java Fern and it actually propagates using leaves that will grow roots on them (those brown patches with the brown roots). After awhile the leave will either separate on its own or you can pull it apart and it will be a new plant by itself.

Make sure when you pull them apart though that you don’t bury the rhizome part (it’s like a stick with all of the leaves attached) since it will rot and kill the plant