Let F be the set of all real-valued functions with domain R and let F be the

Question:

Let F be the set of all real-valued functions with domain R and let F̅ be the subset of F consisting of those functions that have a nonzero value at every point in R. Determine whether the given subset of F with the induced operation is 

(a) A subgroup of the group F under addition, 

(b) A subgroup of the group F̅ under multiplication.

The subset of all constant functions in F.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: