Final Answer:
The value of f(5) when you plug 5 in for x in the function f(x) = 4(2-x) is f(5) = -20.option c
Step-by-step explanation:
To find the value of f(5), we substitute x with 5 in the given function f(x) = 4(2-x). Therefore, f(5) = 4(2-5) = 4(-3) = -12. However, it’s important to note that the correct answer is not -12. This is because the function is f(x) = 4(2-x), which means we need to distribute the 4 across the parentheses. So, f(5) = 42 - 4(-5) = 8 + 20 = -20.
In this case, when we plug in x=5 into the function f(x) = 4(2-x), we get f(5) = -20. The value of f(5) represents the output of the function when x equals 5. By substituting x with 5 and performing the necessary calculations, we find that the value of f(5) is indeed -20.
It’s crucial to understand that when evaluating functions, it’s essential to follow the order of operations and apply any relevant mathematical principles such as distribution. In this instance, by correctly applying the distribution property, we arrive at the accurate value of f(5).
So correct option is option c