solve this question: Let J5 = {0, 1, 2, 3, 4}, and define functions f : J5→J5 and g : J5→J5 as follows: For each x ∈ J5,: f (x)=(x + 4)^ 2 mod 5 and g(x)=(x^2 + 3x + 1) mod 5Is f = g? Explain:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Let J5 = {0, 1, 2, 3, 4}, and define functions f : J5→J5 and g : J5→J5 as follows: For each x ∈ J5,: f (x)=(x + 4)^ 2 mod 5 and g(x)=(x^2 + 3x + 1) mod 5
Is f = g? Explain:

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