Final Answer:
The final answer is C. 1. When evaluating the function g(x) = |3 + 5 - 12 + 11| at x = -4, the expression simplifies to |7|, which equals 7, making the value of g(-4) equal to 7.
Thus option c is corect.
Step-by-step explanation:
The given function is g(x) = |3 + 5 - 12 + 11| evaluated at x = -4. To solve this, start by simplifying the expression within the absolute value brackets: 3 + 5 - 12 + 11 = 7. So, g(x) = |7|. The absolute value of 7 is simply 7. Therefore, g(-4) = 7.
In the provided function g(x) = |3 + 5 - 12 + 11|, the calculation involves adding the numbers within the brackets: 3 + 5 - 12 + 11 = 7. The absolute value of 7 is 7. Thus, the expression simplifies to g(x) = |7|. When x = -4, g(-4) = |7| = 7. This means the value of g(-4) is 7.
To clarify, the function first adds the numbers inside the absolute value brackets, which results in 7. The absolute value of 7 is simply 7. When substituting x = -4 into g(x), the function evaluates to g(-4) = |7| = 7.
Therefore option c is corect.