5. Consider the group (R+, 0). Prove that the function F: R -R given by: F (x.y) = (x +y.r-y) is a group homomorphism. (a) Compute ker F (b) Compute Im F (c) Is F an isomorphism?

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5. Consider the group (R+, 0). Prove that the function F: R -R given
by: F (x.y) = (x +y.r-y) is a group homomorphism.
(a) Compute ker F
(b) Compute Im F
(c) Is F an isomorphism?
Transcribed Image Text:5. Consider the group (R+, 0). Prove that the function F: R -R given by: F (x.y) = (x +y.r-y) is a group homomorphism. (a) Compute ker F (b) Compute Im F (c) Is F an isomorphism?
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