Question

Find (f-g)(x) for the following functions. f(x) = x2-2x-24 g(x) = x+4

Answer 1

(f-g)(x) = x² - 3x - 24

Explanation:

f(x) = x² - 2x - 24

g(x) = x + 4

To find (f-g)(x) subtract g(x) from f(x)

That's

(f-g)(x) = x² - 2x - 24 - ( x + 4)

(f-g)(x) = x² - 2x - 24 - x - 4

Group like terms

We have

(f-g)(x) = x² - 2x - x - 24 - 4

Simplify

We have the final answer as

(f-g)(x) = x² - 3x - 28

Hope this helps you