Answer:
Explanation:
To find the function value for h(x) = |2x + 7| using the given function -4 • h(-13), we need to substitute -13 into the function h(x) and then multiply the result by -4. Let's break it down step by step:
1. Start by substituting -13 into the function h(x) = |2x + 7|:
h(-13) = |2(-13) + 7|
Simplify the expression inside the absolute value: h(-13) = |-26 + 7|
2. Continue simplifying the expression inside the absolute value:
h(-13) = |-19|
3. Since the absolute value of -19 is 19 (the absolute value of any negative number is its positive counterpart), we can simplify further:
h(-13) = 19
4. Now, we need to multiply the result by -4:
-4 • h(-13) = -4 • 19
5. Finally, calculate the multiplication:
-4 • h(-13) = -76
Therefore, the function value for h(x) = |2x + 7| using the given function -4 • h(-13) is -76.