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Travka [436]
2 years ago
12

The sum of 21 and twice a number is -19 what is the number

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0
The correct answer would be -23
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Given that f(x)=x^2-4x -3 and g(x)=x+3/4 solve for f(g(x)) when x=9
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Answer:

f(g(9)) = 945/16

Step-by-step explanation:

To find f(g(x)), you have to substitute g(x) wherever there is an x in f(x).

g(x) = x + 3/4

f(x) = x² - 4x - 3

f(g(x)) = (x + 3/4)² - 4(x + 3/4) - 3

f(g(x)) = x² + 3/2x + 9/16 - 4x + 3 - 3

f(g(x)) = x² - 5/2x + 9/16 + 3 - 3

f(g(x)) = x² - 5/2x + 9/16

Now, put a 9 wherever there is an x in f(g(x)).

f(g(9)) = (9)² - 5/2(9) + 9/16

f(g(9)) = 81 - 5/2(9) + 9/16

f(g(9)) = 81 - 45/2 + 9/16

f(g(9)) = 117/2 + 9/16

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3 years ago
What are two ways the debt to GDP ratio can decrease?
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