In each of the following, decide if the given mapping is invertible. . If the mapping is invertible, exhibit an inverse mapping and verify that your mapping is the inverse. . If the mapping is not invertible, prove that is isn't by demonstrating that the mapping is either not one-to-one or not onto. (a) f : R - R defined by f(x) = 2x + 5. (b) g : Z x Z# -> Q defined by g(m, n) = m for all (m, n) E Z x Z#. (Recall that Z# is the set of all nonzero integers.) (c) h : M2(R) + M2(R) defined by h(A) = CA for each A E M2 (R) where 1 2 C = 2 4