1. Final
Radicals and rational exponents
Solving radical equations
Operations with Functions
Inverse Functions
100
100
100
100
200
200
200
200
300
300
300
300
400
400
400
400
500
500
500
500

2. Write the following using radical notation
Write the following using radical notation. Assume that all variables represent positive real numbers.
X2/5

3. Simplify:
27 2/3

4. Simplify:

5. Simplify:
495/6
491/3

6. Simplify:
X 1/3*X 1/4

7. Let f(x)=3x+2 and g(x)=2x-4.
Find f(x) + g(x).

8. Let f(x)=3x+2 and g(x)=2x-4.
Find g(x) - f(x).

9. Let f(x)=2x and g(x)=x+5.
Find f(g(x)).

10. Let f(x)=5x and g(x)=x2.
Find g(f(x)).

11. Let f(x)=3x+2 and g(x)=2x2-4.
Find g(f(x)).

12. Solve:
x3 - 5 = 59

13. Solve the equation and check for extraneous solutions.

14. Solve the equation and check for extraneous solutions.

15. Solve the equation and check for extraneous solutions.

16. The sales of a certain product after an initial release can be found by the equation
S= , where S represents the total sales and t represents the time in weeks after release. How many weeks will pass before the product sells about 175 units? Round your answer to the nearest week.

17. Find the Inverse of the relation f={(6,-9),(-9,6),(1,8)}.
Part 1:
Find the Inverse of the relation f={(6,-9),(-9,6),(1,8)}.
Part 2:
Find the Inverse of the relation g={(2,7),(7,2),(-6,-1)}.

18. Find the inverse of the relation
Part 1:
Find the inverse of the relation
y = 4x + 2.
Part 2:
y = 2x + 4

19. Sketch the inverse of the graph

20. Sketch the inverse of the graph

21. Sketch the inverse of the graph

22. BONUS

23. The Volume of a sphere can be given by the formula V = 4.18879r3.
You have to design a spherical
container that will hold a volume of
65 cubic inches.
What should the radius of your container be?

24. Final Jeopardy

25. Graph:
F(x) =

26. 2

29. 495/6-1/3 = 491/2 = 7

30. x1/3*x1/4 = x1/3+1/4 = x4/12+3/12 = x7/12

31. 3x+2+2x-4
=5x - 2

32. 2x-4-(3x+2)
= 2x-4-3x-2
= -x - 6

33. 2(x + 5)= 2x + 10

34. (5x)2 = 25x2

35. 2(3x + 2)2- 4 =
2(9x2 +12x + 4) - 4=
18x2 + 24x + 8 – 4=
18x2+24x+4

36. X3 – 5 = 59
X3 = 64
X = 4

37. 2y-7 = 112
2y = 121+7
2y = 128
y = 64

38. X –7 = 53
X = = 132

39. (3x-8)1/2 = 5
((3x-8)1/2)2 = (5)2
3x – 8 = 25
3x = 33
x = 11

41. Part 1:
f-1={(-9,6),(6,-9),(8,1)}
Part 2:
g-1={(7,2),(2,7),(-1,-6)}

50. Part 1
Part 2:

51. Original 
Inverse 

52. Original 
 Inverse

53. Original 
 Inverse