Final answer:
To calculate f(-5) for the function f(x) = 8(4 - x), you substitute -5 for x which gives 8(4 + 5) = 8 * 9 = 72. However, this result does not match any of the provided options, indicating a possible error in the question.
Step-by-step explanation:
To find the value of f(-5) for the function f(x) = 8(4 - x), you need to substitute -5 in place of x. Therefore:
f(-5) = 8(4 - (-5))
Next, you simplify the equation inside the parentheses by changing the minus to a plus since subtracting a negative number is equivalent to adding its positive counterpart.
f(-5) = 8(4 + 5) = 8(9)
Finally, you multiply 8 by 9.
f(-5) = 8 * 9 = 72
However, none of the options given from A to D match the correct answer, 72. This suggests there might be an error in the options provided or in the calculation.