Dorothy needs to edit jpeg and gif files in a multimedia application. which software can dorothy use to edit these files?

GIMP, Photoshop, Paint.net and many many more

Explanation:

Without a selection of possible answers, it's impossible to give a specific answer to the question asking what specific software Dorothy should use.

However, we can answer by the type or class of software to be used: a graphic editor.  A graphic editor lets you edit images from various formats (usually), so Dorothy would be able to edit her JPEG and GIF images with a graphic editor.

There are literally thousands of different graphic editors out there.  Many are free, like GIMP or Paint.net, while others are pretty expensive, like Photoshop.