Answer:
(f - g)(-4) = 17
Step-by-step explanation:
To get (f - g)(x), you need to subtract f(x) with g(x).
f(x) = 2x² + 2
g(x) = -3x + 5
(f - g)(x) = (2x² + 2) - (-3x + 5)
(f - g)(x) = 2x² + 2 + 3x - 5
(f - g)(x) = 2x² + 3x - 3
Now, plug in -4 to find (f - g)(-4).
(f - g)(x) = 2x² + 3x - 3
(f - g)(-4) = 2(-4)² + 3(-4) - 3
(f - g)(-4) = 2(16) + 3(-4) - 3
(f - g)(4) = 32 - 12 - 3
(f - g)(-4) = 17
