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  • 03-10-2020
  • Mathematics
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Space
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  • 03-10-2020

Answer:

27

Step-by-step explanation:

Step 1: Define

f(x) = x - 14

g(x) = x² + 2x + 12

Step 2: Find g(f(x))

g(f(x)) = (x - 14)² + 2(x - 14) + 12

g(f(x)) = x² - 28x + 196 + 2x - 28 + 12

g(f(x)) = x² - 26x + 180

Step 3: Find g(f(9))

g(f(9)) = 9² - 26(9) + 180

g(f(9)) = 81 - 234 + 180

g(f(9)) = -153 + 180

g(f(9)) = 27

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