Question

Let f(x)=2x^(2)+4 and g(x)=-4x+3. Find the following. (f-g)(-4)

Answer 1

(f - g)(-4) = 17

Explanation:

Step 1: Plug in -4 for f(x) and g(x):

First, we plug in -4 for x in f(x) and g(x):

f(-4) = 2(-4)^2 + 4

f(-4) = 2(16) + 4

f(-4) = 32 + 4

f(-4) = 36

----------------------------------------------------------------------------------------------------------g(-4) = -4(-4) + 3

g(-4) = 16 + 3

g(-4) = 19

Step 2: Find the difference of f(-4) and g(-4):

Now we find the difference of f(-4) and g(-4):

f(-4) - g(-4)

36 - 19

17

Thus, (f - g)(-4) is 17.