Q$4$: Let f:$0,1$n$0,1$m and g:$0,1$n$0,1$m be both collision resistant functions. Let$$s define F:$0,12$n$0,12$m as Fx$1,$x$2=$ fx$1||$ gx$2.$

Would F still be a collision resistant hash function? Would F be a one$-$way function? $(5$ points each$)$