FESEM analysis gives you the insight into the micrograph or nanograph of particles and tells you about how the nanoparticles are arranged in a cell. It also suggest you about the shape of particles whether they are segregated into spherical shape or circular shape or any other way. From the FESEM nanographs, you can also measure the average particle size by linear intercept technique. You can imagine a horizontal or vertical line across the nanograph and take the total length of the line and devide by the total no of segregated particles gives you the average particle size or grain size.
EDX analysis gives the elemental propotion of the composition and the total proportion should be 100. It also shows whether the studied samples are without impurity. It is also possible to compare the proportion of individual elements present in the composition theoretically and observed from EDX graph.
I have no enough idea about FTIR analysis of nanoparticles. As I know by FTIR analysis, you can get information about the bonding nature of functional group present in the samples. You can get the corresponding position (cm-1) for showing absorption or emission phenomenon. The dynamics of the nanoparticles can be interpreted from FTIR analysis.
FESEM analysis will provide you information about the surface morphology, surface characteristics of the cell. It can also help you to find out the shape selective characteristics associated with the cell.
FTIR study is mainly used to know the Stretching /bending frequencies of the functional groups as well as dipole moment. like -OH has range between 3400-3600 cm-1 , C=O in the range of 1600-1750 cm-1 etc ....
While as EDX analysis will give you information regarding the elemental analysis, which elements are present with percentage.
FESEM /EDX are related with each other while as FTIR is completely different from them.
FE-SEM provide parellel acquisition of compositional, topographical and crystalline, surface morphological characteristics of the cell. It gives you the surface associated characteristics of the cell. The rest of the two is totally different from FE-SEM like EDX gives you just the composition of the individual elements which is present on your sample while FTIR is used for identifying functional groups associated with your samples.