Consider the following logic gate:

Logic gates

What is the output of gate $3?$

Select one:

a$.$

$[(($x $.$ y$\text{'})\text{'}.$ y$\text{'}$z$).$ x$]\text{'}$

b$.$

$[(($x $+$ y$\text{'})\text{'}.$ y$\text{'}$z$).$ x$]\text{'}$

c$.$

$[(($x $+$ y$\text{'})+$ y$\text{'}$z$)+$ x$]\text{'}$

d$.$

$[(($x $.$ y$\text{'})+$ y$\text{'}$z$)+$ x$]$