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Answer :
Answer:
174
Step-by-step explanation:
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Final answer:
To find f(g(4)), we first find the value of g(4) and substitute it into the function f(x). After calculation, we find that f(g(4)) is equal to 174.
Explanation:
The question is asking us to calculate the value of the composition of two functions, f(g(4)), given the algebraic expressions for f(x) and g(x).
First, we need to calculate g(4). Substituting x with 4 in the function g(x) = 2x, we get g(4) = 2*4 = 8.
Next, we substitute this value into the function f(x). In other words, we need to calculate f(g(4)) which now becomes f(8). So, substitute x with 8 in the f(x) = 3x² - 3x + 6, we get f(8) = 3*8^2 - 3*8 + 6 = 174.
Therefore, f(g(4)) = 174, so option B is the correct answer.
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