Yes. I started writing my reply before Alicorn said anything, took a short break, posted it, and was a bit surprised to see a whole discussion had happened under my nose.

But I don't see how what you originally said is the same as what you ended up saying.

At first, you said not to consider f because there's no point. My response was that the equation correctly includes f regardless of your ability to choose based on the solution.

Now you are saying that Fb is different from (inferior to?) fB.