Let F be the set of all functions f: R S R. For f, g [ F, let f + g be defined as

Chapter 9, Problem 6

(choose chapter or problem)

Let F be the set of all functions f: R S R. For f, g [ F, let f + g be defined as follows: For x [ R, ( f + g)(x) = f(x) + g(x). a. Prove that 3F, +4 is a group. b. Let a [ R. Define a function a: F S F by a( f ) = f(a). Prove that a is a homorphism from 3F, +4 to 3R, +4. c. Find the kernel K.

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