Question

In: Advanced Math

In each of the following, show that ? is a subgroup of ?. (1) 1. ?...

In each of the following, show that ? is a subgroup of ?. (1)

1. ? = 〈F(R), +〉, ? = {? ∈ F(R): ?(?)=0 for every ?∈[0,1]}.

2. ? = 〈F(R), +〉, ? = {? ∈ F(R): ?(?)=−?(?)}.

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