Solution to If a function is defined as f(x,n) mod n. Determine the i. Domain of f … - Sikademy
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Archangel Macsika

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).

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f(x,n)=x mod n

domain f=Z\times N

range f=Z^+=N\cup\lBrace 0 \rBrace

g(7)=209 mod 7=[209=29\cdot 7+6]=6;

g(g(7))=209 mod 6=[209=34\cdot 6+5]=5;

g(g(g(7)))=g(5)=209 mod 5=[209=41\cdot 5+4]=4;

g(g(g(g(7))))=g(4)=209 mod 4=[52\cdot 4+1]=1

So g(g(g(g(7))))=1.

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Question ID: mtid-5-stid-8-sqid-2605-qpid-1075