(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

(01.02 mc) asap plzzzwhich of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, the whole squared.? select one: a. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 1 squared over 4 squared. = 1 over 6.b. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 0 over 4 squared. = 0c. 3 to the power of 2 multiplied by 0 whole over 4, the whole squared. = 3 to the power of 1 multiplied by 0 over 4 squared. = 0d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.