Question

Another college precalculas question. Thank you.

Answer 1

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