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2. (10 points) Let Rg = {0,1,2,3,4,5,6,7,8). Define f: R9 R9 by f(x)=r(6.0), where r: Z Rg is the remainder map. Calcula
Posted: Tue Sep 07, 2021 7:35 am
by answerhappygod
- 2 10 Points Let Rg 0 1 2 3 4 5 6 7 8 Define F R9 R9 By F X R 6 0 Where R Z Rg Is The Remainder Map Calcula 1 (21.26 KiB) Viewed 71 times
2. (10 points) Let Rg = {0,1,2,3,4,5,6,7,8). Define f: R9 R9 by f(x)=r(6.0), where r: Z Rg is the remainder map. Calculate the image set f(R9) = {f(x) : re R$}. That is, list its elements. From this calculation, determine whether or not f is a surjection. (Do NOT prove this from a more general result.) Hint: Multiples of 9 are 9, 18, 27, 36, 45, 54, 63, ... .