Let J5 = {0, 1, 2, 3, 4}, and define functions h : J5 J5 and k : J5 J5 as follows: For
Chapter 7, Problem 14(choose chapter or problem)
Let \(J_{5}=\{0,1,2,3,4\}\), and define functions h : \(J_{5} \rightarrow J_{5}) and k : \(J_{5} \rightarrow J_{5}\) as follows: For each \(x \in J_{5}\),
\(h(x)=(x+3)^{3}\) mod5 and \(k(x)=\left(x^{3}+4 x^{2}+2 x+2\right)\) mod 5.
Is h = k? Explain.
Text Transcription:
J_5 ={0,1,2,3,4}
J_5 rightarrow J_5
J_5 rightarrow J_5
x in J_5
h(x)=(x+3)^3
k(x)=(x^3 +4x^2 +2x+2)
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