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 47 −47 96 −96

The first thing we must do for this case is multiply both functions:
 f (x) = 4x2 + 12
 g (x) = x - 1
 Multiplying we have:
 (f ⋅ g) (x) = (4x2 + 12) * (x - 1)
 We rewrite:
 (f ⋅ g) (x) = 4x3 - 4x2 + 12x - 12
 We evaluate for x = 3:
 (f ⋅ g) (3) = 4 (3) 3 - 4 (3) 2 + 12 (3) - 12
 (f ⋅ g) (3) = 96
 
 (f ⋅ g) (3) = 96

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