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Studentka2010 [4]
3 years ago
5

If f(x) = x2 − 2x + 9 and g(x) = 8 − x, what is (f o g)(−4)?

Mathematics
1 answer:
EleoNora [17]3 years ago
8 0
(f•g)(x)=f(g(x))
f(g(x)) =  {(8 - x)}^{2}  - 2(8 - x) + 9 \\ when \: x =  - 4 \\ f(g( - 4)) = {(8 + 4)}^{2}  - 2(8 + 4) + 9 \\ f(g( - 4)) =  {12}^{2}  - 2 \times 12 + 9 \\ f(g( - 4)) = 144 - 24 + 9 = 129
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313 people were surveyed in total. 183 of the people surveyed are from East Harlem and 130 people are from the Upper East Side.
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1. The percentage of people surveyed in East Harlem is 58.5%

2. The percentage of people surveyed in Upper East Side is 41.5%

From the question given above, the following data were obtained:

  • People surveyed in East Harlem = 183
  • People surveyed in Upper East Side = 130
  • Total people surveyed = 313

1. Determination of the percentage of people surveyed in East Harlem.

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  • Total people surveyed = 313
  • Percentage of East Harlem =?

Percentage of East Harlem = (people surveyed in East Harlem / Total) × 100

Percentage of East Harlem = (183/313) × 100

Percentage of East Harlem = 58.5%

2. Determination of the percentage of people surveyed in Upper East Side.

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  • Total percentage = 100%
  • Percentage of Upper East Side =?

Percentage of Upper East Side = (Total percentage) – (Percentage of East Harlem)

Percentage of Upper East Side = 100 – 58.5

Percentage of Upper East Side = 41.5%

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