Let F be the set of all real-valued functions with domain R and let F be the
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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 f ∈ F̅ such that f (0) = 1
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Somshukla Chakraborty
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