Then double displacement will happen
The reaction given by
[tex]\\ \rm\Rrightarrow Li_3AsO_4+Fe(NO_3)_3\longrightarrow LiNO_3+FeAsO_4[/tex]
Remember that nitrate ions and compounds are highly soluble in water like HNO_3 ,KNO_3.
So LiNO_3 remains dissolved in water or aqueous.
FeAsO_4 will be in solute form i.e precipitate