In GIMP, my background is a solid color.1 On top of this background, I placed an image; then I used a patterned fuzzy eraser tool to cut away all of the image which I didn't need.2 And I merged the two layers – believing, falsely, that the fuzzy eraser tool had smoothly blended the two layers together. Later on, when I zoomed in, I noticed that the image has a jagged edge against the background. The layers can't be unmerged.
How do I smoothly blend them together?
Here's a version of the merged layers but set in exclusion mode so that you can more clearly see the problem: