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Alina [70]
3 years ago
10

Given the following functions f(x) and g(x), solve for (f ⋅ g)(2) and select the correct answer below:

Mathematics
1 answer:
Alisiya [41]3 years ago
8 0
For this case we have the following functions:
 f(x) = 3x^2 + 2

g(x) = x - 8
 Multiplying both functions we have:
 (f * g)(x) = f(x)*g(x)

(f * g)(x) = (3x^2 + 2)*(x - 8)
 By doing distributive property we have:
 (f * g)(x) = (3x^3 + 2x) + (-24x^2 - 16)

 Finally, by rewriting we have:
 (f * g)(x) = 3x^3 - 24x^2 + 2x - 16

 Then, evaluating for x = 2 we have:
 (f * g)(2) = 3(2)^3 - 24(2)^2 + 2(2) - 16

(f * g)(2) = -84
 Answer:
<span> B. -84
</span> 
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