Each of the following rules determines a mapping o: G - G, where G is the group of all nonzero real numbers under multiplication

Math Nov 09, 2020

Each of the following rules determines a mapping o: G - G, where G is the group of all nonzero real numbers under multiplication. Decide in each case whether or not is an endomorphism. For those that are endomorphisms, state the kernel and decide whether d is an epimorphism or a monomorphism. a. p(x) = x b. (x) = 1/x c. (x) = -x d. p(x) = x2 e. p(x) = f. p(x) = x +1 X X g. p(x) = h. p(x)