Final answer:
The value f(8) for the given function f(x) = x² + 1 + 4 is 69, which does not match any of the provided multiple-choice options. There might be a typo in the function as provided.
Step-by-step explanation:
To evaluate the function f(x) = x² + 1 + 4 when x = 8, we substitute the value of x into the function:
f(8) = (8)² + 1 + 4 = 64 + 1 + 4 = 69.
However, this result is not listed among the options provided in the question (A. 0, B. 1, C. 6, D. 8). Thus, it's possible there might be a typo in the function presented in the question. Nonetheless, based on our calculations with the function provided, none of the options is correct. If the student meant the function to be f(x) = x² + 1, then the correct evaluation would be 65, which is also not in the given options.