Question: please answer 16 with details Let F be the set of all real-valued functions with domain R and let F~ be the subset of F

please answer 16 with details Let F be the set of allplease answer 16 with details

Let F be the set of all real-valued functions with domain R and let F~ be the subset of F consisting of those functions that have a nonzero value at every point in R. In Exercises 14 through 19, 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 F~ under multiplication. 16. The subset of all fF~ such that f(1)=1

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