need help answering show all work make sure its correct

Unit 5: Function Operations Workbook 5 Explore Your Understanding Assignment 5 This assignment includes '19 marks. You are expected to attempt all questions showing detailed solutions. If you are not confident with some of your work, then you may choose to designate up to 2 marks worth to be exempted from grading by writing \"DO NOT MARK\" in the left margin next to the question. You are still expected to show any work you have tried and/or explain your thinking so that we can give you feedback on your response. No questions should be left blank. Please contact your teacher if you have any questions. 6) 1. Use the graphs of y =f(x) and y = g(x) to sketch the graph of y = h(x) in each case. a. 1:00 = (f + 900 \fUnit 5: Function Operations Workbook 5 d. h(x) = ( # ) (x) - -5 y=f(x). y = g(x) - 3 - -+.- -2 - -1 -1 -1 1 e. h(x) = (8 .f)(x) [Hint: see 5A Composition of Functions at http://ggbtu.be/m1494623] - 6. -5 y=f(x) y = 8(x) - 3 - - - -2- - N - - W - - () - - -CoWorkbook 5 Unit 5: Function Operations 2. Two functions are given as f(x) = (x + 5)2 and g(x) = J:2 + 7x + 10. a. Determine h(x) = (%)(x) in simplest form. (D b. State the domain and range of h(x). 3. a. If f= {(1, 4), (2, 7), (3, 1)}, determine (fvf)(3) and explain. b. If g(x) = J; and h(x) =x2, determine (g . h)(x) and (h . g)(x). [Hint (3 1006) at (h g)(x)] 0. Determine the domain and range of (g o h)(x) and (h ' g)(x). Unit 5: Function Operations Workbook 5 4. A function is given as x) = 9.x2 + 3x. a. If x) = (g - h)(x), state two possible pairs of equations for g(x) and h(x). (:9 b. If x) = (g . h)(x), state two possible pairs of equations for g(x) and h(x). 5. On a particular day, the function y(c) = 99.3c converted Canadian dollars to Japanese yen. That same day e(y) = 0.0074y converted Japanese yen to euros. a. Write a composite function to convert Canadian dollars to euros for that day. Q h. Convert $500 CAD to euro. 0. State and explain any restrictions on the composite function in part a