Final answer:
Upon evaluating the functions f(x) and h(x) for x values of 2 and 7, none of the provided answer options are correct due to an error in calculating h(7). The correct values are f(2) = -4, f(7) = 6, h(2) = 53, and h(7) = 33.
Step-by-step explanation:
To evaluate the functions f(x) = 2x - 8 and h(x) = -4x + 61 for x = 2 and x = 7, we simply substitute the values of x into each function accordingly.
- For f(x) when x = 2: f(2) = 2(2) - 8 = 4 - 8 = -4.
- For f(x) when x = 7: f(7) = 2(7) - 8 = 14 - 8 = 6.
- For h(x) when x = 2: h(2) = -4(2) + 61 = -8 + 61 = 53.
- For h(x) when x = 7: h(7) = -4(7) + 61 = -28 + 61 = 33 (not 27 as stated in some options).
Examining the options given, the correct answer is not listed as there is a mistake with the evaluation of h(x) for x=7. Hence, none of the provided choices are correct.