Let F be a function which maps integers to integers by the following rules:
F(n)=n-3 if n \geq 1000;
F(n)=F(F(n+5)) if n<1000.
(a) Find F(999).
(b) Show that F(984)=F(F(F(1004))).
(c) Find F(84).
Let F be a function which maps integers to integers by the following rules:
F(n)=n-3 if n \geq 1000;
F(n)=F(F(n+5)) if n<1000.
(a) Find F(999).
(b) Show that F(984)=F(F(F(1004))).
(c) Find F(84).