It depends on the PA speaker really.
You see a lot of PA speakers, usually 15", aimed at DJs which boast a decent low end extension but really when you hear them they have a couple of notes that resonate low down so they'll push out a kick drum to punch you in the chest but don't do much in terms of intelligible low end that you'd need for a bass guitar.
Brands like QSC, EV and on the upper end d&b, L-Acoustics, Nexo, etc make speakers that would do a better job but if you look at the specs of their 12" speakers they tend to publish more realistic ratings which don't rate them down as low as the cheaper ones. Really you'd expect to use these with a sub for the low end.
Most gigs I do these days I have PA support for bass. Typically if the system has subwoofers I'll go through the PA and if not I won't. I'd apply the same thinking to a bass amp. I'd rather use a system which I know will replicate the frequencies I need and a bass amp is designed for this so I know it will.