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8 February, 08:43

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

f (x) = 4x2 + 12

g (x) = x - 1

A. 47

B. - 47

C. 96

D. - 96

+2
Answers (1)
  1. 8 February, 09:04
    0
    F (x) = 4x^2 + 12

    g (x) = x - 1

    (f o g) (x) = f (g (x)) = 4 (x - 1) ^2 + 12 = 4 (x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

    (f o g) (3) = 4 (3) ^2 - 8 (3) + 16 = 4 (9) - 24 + 16 = 36 - 8 = 28
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