Question

If a function is defined as f(x,n) mod n. Determine the

i.    Domain of f

ii.   Range of f

iii.         G(g(g(g(7)))) if g (n) = f(209, n).

Answer 1

i)

Domain: $x\isin Z$

ii)

Range: $f(x,n)\isin Z$

iii)

$g(7)=f(209,7)=6$

$g(g(7))=g(6)=f(209,6)=5$

$g(g(g(7)))=g(5)=f(209,5)=4$

$G(g(g(g(7))))=g(4)=f(209,4)=1$