Final answer:
The complement of the function F(x, y, z) = (x+yz') (x'z + y) is (x' + y'z) (xz' + y').
Step-by-step explanation:
The complement of the function F(x, y, z) = (x+yz') (x'z + y) can be found by applying De Morgan's Law. According to De Morgan's Law, the complement of a logical expression is obtained by switching the AND and OR operators and complementing each variable. In this case, the complement of F(x, y, z) is:
(x' + y'z) (xz' + y')
Thus, the complement of F(x, y, z) is (x' + y'z) (xz' + y').