| |
| |
1. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
| |
|
A. |
 |
B. |
3x2 + 6x - 1 |
| |
|
C. |
3x2 - 2x - 3 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
| |
|
A. |
6x2 + 5 |
B. |
12x2 + 36x + 28 |
| |
|
C. |
12x2 - 36x + 28 |
D. |
6x2 - 5 |
| |
|
Hint |
|
| |
3. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
| |
|
A. |
2, 5, 14 |
B. |
5, 14, 41 |
| |
|
C. |
8, 23, 88 |
D. |
-4, -13, -40 |
| |
|
Hint |
|
| |
4. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
| |
|
A. |
x 1 |
B. |
x0, 1, -1 |
| |
|
C. |
x1,-1 |
D. |
all real numbers |
| |
|
Hint |
|
| |
5. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
| |
|
A. |
 = 2
 = 6
 = 42 |
B. |
= 2
= 6
= 12 |
| |
|
C. |
= 0
= 2
= 4 |
D. |
= 2
= 6
= 36 |
| |
|
Hint |
|
|
|