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)

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Becoming a subscriber
Or look for another answer

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back