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1. |
Given f(x) = x2 + 1 and g(x) = 2x - 1, find (f - g)(x). |
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A. |
x2 - 2x + 1 |
B. |
x2 + 2x |
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C. |
x2 - 2x + 2 |
D. |
x2 - 2x - 1 |
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Hint |
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2. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
6x2 + 5 |
B. |
6x2 - 5 |
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C. |
12x2 - 36x + 28 |
D. |
12x2 + 36x + 28 |
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Hint |
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3. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
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A. |
2, 5, 14 |
B. |
5, 14, 41 |
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C. |
8, 23, 88 |
D. |
-4, -13, -40 |
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Hint |
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4. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x3 –5x2 +3x -15 |
B. |
x3 +5x2 +3x-15 |
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C. |
4x3 –2x |
D. |
x2 –2x-15 |
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Hint |
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5. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 36 |
B. |
= 2
= 6
= 12 |
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C. |
= 2
= 6
= 42 |
D. |
= 0
= 2
= 4 |
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Hint |
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