Properties of exponents, rational exponents by zqa20601

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									MAC 1140                              Chapter 5                 Instr: Jamieson
                                      Section 1                            2/7/2009
     #
In 1 – 5, choose those that represent an invertible function of x.
1.
                                                       3x 5 + 8
a.                   b.                         c. y =
                                                           2



2.
 a.                      b.                       c.
            4
         5x − 9           x        y(x)            x    y(x)
  y=                      1         2              1     2
           3
                          2         7              2     7
                          3         3              3     3
                          4         4              4     4
                          5         9              5     7

3.
 a.                     b.                        c.
 x       y(x)
 1        4                     37x 8 − 7
                             y=
 2        2                       912
 3        3
 4        6
 5        4

4.
 a.                     b.                        c.
 x       y(x)
 1        3                       378x 9 − 715
                             y=
 2        6                          913
 3        4
 4        2
 5        7
5.

 a.                     b.                        c.
 x       y(x)
 1        3                       378 − 715x 9
                             y=
 2        5                           913
 3        2
 4        3
MAC 1140                               Chapter 5                  Instr: Jamieson
                                       Section 1                             2/7/2009
  #                               -1
In 6 – 20, find a formula for f
6. f(x) = 2x – 9.
         x− 9                                           3x−1
7.f(x) =      .                            14. f x=        3
           2                                            x−2

               9                                        5x1
8.f(x) = x −     .                         15. f x=        3
               2                                        x−2

            2x                                          x2
9.f(x) =        .                          16. f x=        1
           x− 9                                         4x−3

            3x + 2                                      7x1
10.f(x) =          .                       17. f x=        2
             x− 9                                       2x−3

               2x3                                     x−1
11. f x=          7                     18. f x=       1
               4x−5                                     x1

               2x−3                                     x113
12. f x=          4                     19. f x=         3
               2x1                                      x−2

               4x−1                                     112x3
13. f x=          3                     20. f x=          3
               5x−2                                       x−5
MAC 1140              Chapter 5                  Instr: Jamieson
                      Section 1                             2/7/2009
Answers:
                                −1        2t−7
1. ac                      13. f t =
                                         5t−19
2. b
3. none                         −1       2x−7
4. abc                     14. f x =
                                          x−6
5. b
    −1       x9                         2x−5
6. f x=                       −1
                           15. f x =
              2                           x−8

7. f −1 x=2x9                −1       3x−1
                           16. f x =
                                         4x−5
8. f −1 x =x 9
                2               −1       3x−5
                           17. f x =
                                         2x11
    −1        9x
9. f x =
             x−2                −1       −x
                           18. f x =
                                         x−2
     −1       9x2
10. f x =
               y−3              −1       2s107
                           19. f s=
                                           s−6
     −1       5x−32
11. f x =
              4x−30             −1       2t−12
                           20. f t =
                                         t−115
     −1        1−y
12. f y=
              2y−10

								
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