Every fingering that fits a hand
102010
open
103010
open
102011
moderate
10201x
open
102013
moderate
What is true of it
Fmaj9 is F, A, C, E and G — 1, 3, 5, 7 and 9 counted from F.
On an instrument that cannot reach all 5, the 5 and 1 go first, in that order.
The easiest of the 5 fingerings below is 102010: 3 fingers, held at the 1st fret.
3 of them use open strings, which is what makes a shape quiet to change to.
Where its notes are on the neck
The brass dots are F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
Fmaj9/A
x03010
Fmaj9/C
x33055
Fmaj9/E
003010
An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.