Solved: Define G : J5 J5 J5 J5 as follows: For all (a, b) J5 J5, G(a, b) = ((2a + 1) mod
Chapter 7, Problem 13(choose chapter or problem)
Let \(J_{5}=\{0,1,2,3,4\}\), and define functions f : \(J_{5} \rightarrow J_{5}\) and g : \(J_{5} \rightarrow J_{5}\) as follows: For each \(x \in J_{5}\),
\(f(x)=(x+4)^{2}\) mod 5 and \(g(x)=\left(x^{2}+3 x+1\right)\) mod 5.
Is f = g? Explain.
Text Transcription:
J_5 ={0,1,2,3,4}
J_5 rightarrow J_5
J_5 rightarrow J_5
x in J_5
f(x)=(x+4)^2
g(x)=(x^2 +3x+1)
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