2. MATH JEOPARDY 100 200 300 400 500 functionsinversesradicalsWord problems potpourri

3. 1-100 f(x)=2x 2 -2, g(x)=4x+2 What is g(f(5))?

4. ANSWER 1- 100 f(5)=2(5 2 )-2=48 g(48)=4(48)+2 g(f(5))=194

5. 1-200 f(x)=5x 2 -3, g(x)=4x+2 what is f(g(x))?

6. ANSWER 1-200 f(g(x))=5(4x+2) 2 -3= 5(16x 2 +16x+4)-3= 80x 2 +80x+20-3= 80x 2 +80x+17

7. 1-300 f(x)=5x 2 -3, g(x)=4x+2 What is g(f(x))?

8. ANSWER 1-300 4(5x 2 -3)+2= 20x 2 -12+2= 20x 2 -10

9. 1-400 f(x)=x 2 +3, g(x)=2x-7 What is f(g(x))?

10. ANSWER 1-400 (2x-7) 2 +3= 4x 2 -28x+49+3= 4x 2 -28x+52

11. 1-500 f(x)=x 2 +3, g(x)=2x-7 What is g(f(x))?

12. ANSWER 1- 500 2(x 2 +3)-7= 2x 2 +6-7= 2x 2 -1

13. 2-100 If f and f -1 are inverses, what is f(f -1 (x))?

14. ANSWER 2- 100 the composition of a function and its inverse is x. Inverse Functions Th.

15. 2-200 what is the inverse of f(x)=5x-7 in slope- intercept form?

16. ANSWER 2-200 y=5x-7 x=5y-7 5y=x+7 y=1/5 x +7/5

17. 2-300 f(x)=x 3 Give an equation for the inverse.

18. ANSWER 2-300 x=y 3 or y=x 1/3

19. 2-400 Are f(x)=2x+3 and G(x)= 1/2x –3 inverse functions? Why or why not?

20. ANSWER 2-400 NO: 2(1/2 x-3)+3= x-6+3= X-3 NOT x

21. 2-500 Is the inverse of y=2x 2 -3x+6 a function? Why or why not?

22. ANSWER 2-500 NO, the inverse of a Parabola is not a function.

23. 3-100 Evaluate:

24. ANSWER 3- 100

25. 3-200

26. ANSWER 3- 200

27. 3-300 Estimate: To the nearest hundreth

28. ANSWER 3- 300

29. 3-400 Simplify:

30. ANSWER 3- 400 =

31. 3-500 Rationalize the denominator and simplify

32. ANSWER 3-500

33. DAILY DOUBLE! DAILY DOUBLE

34. 4-100 Use the formula to determine the horsepower p generated by an engine of a ship traveling at a speed s of 20 knots.

35. ANSWER 4-100

36. 4-200 solve for V:

37. ANSWER 4-200

38. 4-300 A job pays $8/hr. Write an equation for f(w), the wages made working h hours.

39. ANSWER 4-300 f(w)=8h

40. 4-400 If f(w)=5h shows the wages made working h hours, what does equal, and what does it mean?

41. ANSWER 4- 400 It takes 310 hours to make $1550.

42. 4-500 Give the domain and range of if x and y are real numbers.

43. ANSWER 4- 500 domain {x :x>0} range {y :y>0}

44. 5-100 Rationalize the denominator and simplify:

45. ANSWER 5- 100

46. 5-200 Simplify:

47. ANSWER 5-200

48. 5-300 Find all real solutions:

49. ANSWER 5-300

50. 5-400 Find all real solutions:

51. ANSWER 5-400 No real solutions

52. 5-500 Simplify:

53. ANSWER 5-500

54. Final Jeopardy FINAL JEOPARDYFINAL JEOPARDY

55. Final Jeopardy here