a. Define F: Z Z by the rule F(n)= 2 3n, for all integers

a. Define F: Z ? Z by the rule F(n)= 2 ? 3n, for all integers n.(i) Is F one-to-one? Prove or give a counterexample.________________(ii) Is F onto? Prove or give a counterexample.________________b. Define G: R ? R by the rule G(x) = 2 ? 3x for all real numbers x .Is G onto? Prove or give a counterexample.