Question

Given the function h(x):

h(x) = 2x - 15 for x ≤ -4
h(x) = 20 - 3x^2 for x > -4
What is the value of h(-4) + 3h(-2)?
A) -53
B) -41
C) -44
D) -50

Answer 1

The value of h(-4) + 3h(-2) is 1.

Step-by-step explanation:

The value of h(-4) + 3h(-2) can be found by substituting the given values into the function h(x). Firstly, we evaluate h(-4) by using the first equation, h(-4) = 2(-4) - 15 = -8 - 15 = -23. Then, we evaluate 3h(-2) by using the second equation, 3h(-2) = 3(20 - 3(-2)^2) = 3(20 - 3(4)) = 3(20 - 12) = 3(8) = 24.

Now, we add h(-4) + 3h(-2) = -23 + 24 = 1. Therefore, the correct answer is 1.