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1. |
Find  (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 - 36x + 28 |
B. |
6x2 - 5 |
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C. |
12x2 + 36x + 28 |
D. |
6x2 + 5 |
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Hint |
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2. |
State the domain of  (x) for f(x) =  and g(x) =  |
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A. |
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B. |
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C. |
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D. |
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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. |
-4, -13, -40 |
B. |
2, 5, 14 |
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C. |
8, 23, 88 |
D. |
5, 14, 41 |
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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. |
4x3 –2x |
B. |
x2 –2x-15 |
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C. |
x3 –5x2 +3x -15 |
D. |
x3 +5x2 +3x-15 |
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Hint |
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5. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
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A. |
x 1,-1 |
B. |
x0, 1, -1 |
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C. |
all real numbers |
D. |
x1 |
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Hint |
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