the Boolean function $($F$\text{'}=$ xz $+$ x$\text{'}*$ y $+$ y$\text{'}*$ z$)$ is implemented with NAND and inverter gates will be:

F $=(($XZ$)\text{'}+($X$\text{'}*$ Y$)\text{'}+($Y$\text{'}*$ Z$)\text{'})\text{'}$

F$=(($XZ$)^$ prime $.($X$\text{'}*$ Y$)\text{'}.($Y$^$ prime Z$)^$ prime $)^$ prime

F$=(($XZ$).($X$\text{'}*$ Y$).($Y$^$ prime Z$))^$ prime