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Charles C Pinter Abstract Algebra

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If G is a group, G=(F(R), +), F(R) set of all real valued functions.

H={f€F(R) ; f(-x)=-f(x)}

Is H a subgroup of G?

My solution.(Click on link..I have not shown th associative prt coz addition is always associative) please let me know if iam correct.

https://ibb.co/sPzHg6m

https://ibb.co/sPzHg6m

 

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