Final answer:
To find h(-6), take the absolute value of -6, which is 6, multiply by 4 to get 24, and then subtract 3, resulting in a final answer of 21.
Step-by-step explanation:
To find the value of h(-6) for the function h(x)=4|x|-3, we first need to evaluate the absolute value of -6. The absolute value of a number is its distance from zero on the number line, without considering direction, so |-6|=6. The next step is to multiply this value by 4 and subtract 3, according to the function's rule.
Therefore, we calculate it as follows:
Calculate the absolute value: |-6| = 6.
Multiply by 4: 4 × 6 = 24.
Subtract 3: 24 - 3 = 21.
The value of h(-6) is 21.