Looks good to me.
I used a karnaugh map to find the minimal representation of this:
x'y'z + x'y'z' + x'yz'
........xy......xy'.....x'y'....x'y.....
z.......0........0........1......0.....
z'.......0........0........1.....1.....
so my minimal representation is
x'y' + x'z'
is this ok?