(a) Let R* be the multiplicative group of nonzero real numbers, R** be the multiplicative group of positive real numbers and ƒ : R* →→ R** be defined by f(x)=x². (i) Check as to whether f is a homomorphism or not [Hint: first check as to whether f is well defined or not] (ii) If f is a homomorphism, then find its kernel

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