# 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
−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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