(a) define f : c → c by f(. (i) describe the geometric effect of f. (ii) based on your answer to (i), is f bijective? if so, what is the inverse of f? (ii) sketch the sets a and f(a), where a z ec: arg() e ) (b) define h: r r by h(x) log(e1) (i) the most common way to prove that a function f is injective is to show that f(x) = f(y) x = for all x, y e dom(f). use this technique to prove that h is injective, stating the operation you are applying at each step in your proof. (ii) explain why h is not surjective. iii) explain how to restrict h to obtain a surjective function and find a formula for the inverse of this new function