Question

Find (f- g)(-2) for the functions

f(x) and g(x) given below.
f(x) = x² + 1 and g(x) = x - 4
(f - g)(-2) = [?]

Answer 1

(f - g)(-2) = f(-2) - g(-2) = (-2)² + 1 - (-2) + 4 = 4 - (-2) + 1 = 6

Explanation:

First, we need to find the value of f(-2).

f(x) = x² + 1, so f(-2) = (-2)² + 1 = 4 + 1 = 5.

Next, we find the value of g(-2).

g(x) = x - 4, so g(-2) = -2 - 4 = -6.

Finally, we subtract the value of g(-2) from the value of f(-2).

(f - g)(-2) = f(-2) - g(-2) = 5 - (-6) = 5 + 6 = 11.

So, (f - g)(-2) = 11.

Hope this helps!