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Given that f(1) = 5x – 4 and g(x) = 1 - 2x, calculate F(g(0)).

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Final answer:

After evaluating g(0) to 1 and substituting it into the function f(x), we find that F(g(0)) equals 1.

Step-by-step explanation:

To calculate F(g(0)), we first need to evaluate g(0). The function g(x) = 1 - 2x, so after substituting 0 for x, we get g(0) = 1 - 2(0) = 1. Now we need to calculate f(1), with the given function f(x) = 5x - 4. After substituting 1 for x, we get f(1) = 5(1) - 4 = 1. Hence, F(g(0)) is equal to f(1), which equals 1.

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