Synthetic life will be able to do just about everything we can do once we create true Artificial General Intelligence (AGI), which is what most people think of when they think of AI. This is why irresponsible research into AGIs is such a concern for many in the field.

I do not believe we will ever capture emotion perfectly in synthetic life. I think they will be capable of feeling, just not the way we do. As a result, I think Art will be an area where humans will still dominate. More specifically, our forms of Art. Since I believe they will eventually be able to feel, but not the way we do, it stands to reason that they'll have Art forms but ones that are greatly different from ours.

Business management is mostly a science based on 95% logic, 5% intuition, and that intuition is more subconscious hyper-logic than emotion. To me that means an AGI trained from the personality and thoughts of a business leader should be able to make similar (if not the same) decisions as what the business leader would have in life. I think V-space clones like Zoe, except for business, will be a thing for this reason.