Final answer:
B.-15.To solve f(g(2)), we first determine g(2) to be -3 by applying the function g(x) = -2x + 1 to the number 2. Then, we find f(-3) by applying the function f(x) = 5x to -3, resulting in -15.
Step-by-step explanation:
The correct answer is option B, which is -15. To find f(g(2)), you first need to apply the function g to the number 2. The function g(x) is defined as -2x + 1, so substituting 2 for x, you get g(2) = -2(2) + 1, which simplifies to -4 + 1 and results in -3. After finding g(2), you then apply the function f to this result.
The function f(x) is represented by 5x, so f(g(2)) becomes f(-3). Plugging -3 into the function f, we get f(-3) = 5(-3), which equals -15.