Question

Given the functions f(x) = x² + 4 and h(x) = x-2, find (f - h) (-4)

A. 6
B. 26
C. 14
D. 12

Answer 1

(f - h) (-4) = 26.

Explanation:

First, find the value of f(-4):

f(x) = x² + 4

f(-4) = (-4)² + 4 = 16 + 4 = 20

Next, find the value of h(-4):

h(x) = x-2

h(-4) = -4 - 2 = -6

Finally, subtract h(-4) from f(-4) to find (f - h) (-4):

(f - h) (-4) = f(-4) - h(-4) = 20 - (-6) = 20 + 6 = 26

So (f - h) (-4) = 26.

Answer 2

We have:
f(x) = x² + 4
h(x) = x-2

So, (f - h)(x) = f(x) - h(x) = x² + 4 - (x-2) = x² + 6

Now, substitute x = -4 to find (f - h)(-4):
(f - h)(-4) = (-4)² + 6 = 16 + 6 = 22

So the answer is:
(f - h)(-4) = 22

Therefore, the answer is A. 22