Use Nminimize within RegionPlot in Mathematica 11.1?

Apparently Nminimze does not work anymore within RegionPlot (I worked before my last upgrade). I saw other user posts on the internet having similar problems. For example this produces an error:

RegionPlot[First@NMinimize[1 + a t + b t^2, t] > 0, {a, 0, 3}, {b, 0, 4}]

Has this been solved in Release 12 ? Is there a workaround in 11.1?

Thanks,

Thomas

If you are going to ask the same question simultaneously on multiple forums, you should add that information in your question: https://mathematica.stackexchange.com/questions/209906/nminimize-cannot-be-used-within-regionplot.

Hi Jim, thanks for telling me. The workaround is nice.

Still my question stands whether the problem has been solved in Release 12 (I did not ask this in the other forum).