Final Answer:
The expression j(-8) = -2|-8 + 4| + 3 = -2|-4| + 3 = -2(4) + 3 = -8 + 3 = -5 .So j(-8) = -5
Step-by-step explanation:
The expression j(x) = -2|x + 4| + 3 represents a function where x is the input variable. To find j(-8), we substitute -8 for x in the expression.
Firstly, we substitute -8 into the absolute value term: |-8 + 4| = |-4| = 4. The expression now becomes -2 * 4 + 3. Multiplying -2 by 4 gives us -8. Adding 3 to -8 yields the final result: -8 + 3 = -5.
In summary, when -8 is plugged into the function j(x), the output j(-8) is equal to -5. The absolute value term ensures that the expression inside the absolute value bars is non-negative, so the result is not affected by the sign of the input. The subsequent multiplication and addition steps follow standard arithmetic rules, leading to the final value of -5 for j(-8).