Answer:
Therefore, f(-2) + 2g(6) is equal to 4.
Explanation:
To find f(-2) + 2g(6), we need to evaluate the functions f(x) and g(x) at the given values and perform the calculations.
Given:
ƒ(x) = 3x² + x - 2
g(x) = 4 - x
First, let's find ƒ(-2):
ƒ(-2) = 3(-2)² + (-2) - 2
= 3(4) - 2 - 2
= 12 - 2 - 2
= 8
Next, let's find g(6):
g(6) = 4 - 6
= -2
Now we can calculate f(-2) + 2g(6):
f(-2) + 2g(6) = 8 + 2(-2)
= 8 - 4
= 4
Therefore, f(-2) + 2g(6) is equal to 4.