(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

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

.95

step-by-step explanation:

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!

there are no multiple choices