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Kay [80]
3 years ago
13

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Mathematics
1 answer:
amm18123 years ago
7 0
(f * g)
(4x^2 + 12)(x - 1) = x(4x^2 + 12) - 1(4x^2 + 12) = 4x^3 + 12x - 4x^2 - 12 =
4x^3 - 4x^2 + 12x - 12

(f*g)(3) = 4(3^3) - 4(3^2) + 12(3) - 12 = 4(27) -4(9) + 36 - 12 =
108 - 36 + 36 - 12 =
96 <===

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<u>Given</u>:

Four coordinates lying on the 3rd quadrant of the Cartesian plane are as follows: \:

  • C' = (–6, –5)
  • D' = (–6, –3)
  • E' = (–4, –3)
  • F' = (–4, –5)

<u>Translation</u>:

Since you've been asked to translate the coordinates of the vertices 2 units right and 8 units up, you'll need to add 2 to its x-coordinate and 8 to its y-coordinate.

C'(–6, –5)

ㅤㅤ= C'(–6 + 2, –5 + 8)

ㅤㅤ= C'(–4, 3)

D'(–6, –3)

ㅤㅤ= D'(–6 + 2, –3 + 8)

ㅤㅤ= D'(–4, 5)

E'(–4, –3)

ㅤㅤ= E'(–4 + 2, –3 + 8)

ㅤㅤ= E'(–2, 5)

F'(–4, –5)

ㅤㅤ= F'(–4 + 2, –5 + 8)

ㅤㅤ= F'(–2, 3)

<u>Final </u><u>answer</u>:

  • C' = (–4, 3)
  • D' = (–4, 5)
  • E' = (–2, 5)
  • F' = (–2, 3)

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