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zmey [24]
3 years ago
11

What is the range of this function?

Mathematics
1 answer:
aleksley [76]3 years ago
7 0
You order the y-values from greatest to least, which are 2, 2, 3, and 4. You don't need to duplicate the same y-values, so the range is {2, 3, 4}
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F(x) = 3x + 2
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Answer:

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Step-by-step explanation:

g(f(x))

= g(3x + 2) ← substitute x = 3x + 2 into g(x)

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to expand (3x + 2)² = (3x + 2)(3x + 2)

each term in the second factor is multiplied by each term in the first factor

3x(3x + 2) + 2(3x + 2) ← distribute both parenthesis

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= 9x² + 12x + 4

then

g(f(x)) = (3x + 2)² + 1 = 9x² + 12x + 4 + 1 = 9x² + 12x + 5

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