The bar shown will work with your brake and shift levers. However, you need to be aware of at least two things:
- It looks like that bar uses a 25.4mm stem clamp diameter, and your FX likely has a 31.8mm stem clamp diameter. You can get shims to fit a smaller diameter bar into a larger stem, or you can also buy a stem with a 25.4mm clamp diameter. Either way would work, but it's something you'll need to check on. You can also get swept-back handlebars with 31.8mm stem clamp diameters, but they are less common.
- You'll very likely need to re-route or even lengthen your brake and shift cables, since the back-sweep on that and similar bars will move the levers rearward. Depending on the configuration of your cables, this may require longer cables and housings. This is most likely to be an issue for the front brake, which generally has the most direct routing and, thus, the least amount of slack of free play.