MATLAB: How to invert nested functions in MATLAB

fftnfftshiftfinversefunctionfunction inverseifftnifftshiftMATLAB

If I have a variable (let's call it a) and then I apply the following multiple functions to transform it into a second variable, (b), how would I reverse it?
b = fftshift(fftn(fftshift(a)));
I tried doing the following:
c = ifftshift(ifftn(ifftshift(b)));
If this had worked, c would have been equal to a (the initial, non-transformed data set). Why doesn't it? Is there a better, more universal way of reversing the function initially applied to A? I tried finverse, but it didn't work in the way I used it because fftshift works on doubles, and I was using a sym-type variable when I tried getting the inverse.
Any help is appreciated

Best Answer

"If I have a variable (let's call it a) and then I apply the following multiple functions to transform it into a second variable, (b), how would I reverse it?"
a=magic(3)
b = fftshift(fftn(fftshift(a)));
c = ifftshift(ifftn(ifftshift(b)))
Result: 
a =
     8     1     6
     3     5     7
     4     9     2
c =
    8.0000    1.0000    6.0000
    3.0000    5.0000    7.0000
    4.0000    9.0000    2.0000
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