Question

Find (f-g)(x) for the following functions. f(x) = –12x3 + 19x2 – 5 g(x) = 7x2 + 15

Answer 1

all work is shown and pictured

Answer 2

(f-g)(x) = -12x³ + 12x² - 20

Step-by-step explanation:

We are given that:

f(x) = -12x³ + 19x² - 5

g(x) = 7x² + 15

To compute (f-g)(x), we will simply subtract the two functions

This means that:

(f-g)(x) = f(x) - g(x)

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

Now, we compute the subtraction by gathering like terms to simplify the equation

(f-g)(x) = (-12x³ + 19x² - 5) - (7x² + 15)

(f-g)(x) = -12x³ + 19x² - 5 - 7x² - 15

(f-g)(x) = -12x³ + x²(19-7) - 5 - 15

(f-g)(x) = -12x³ + 12x² - 20

Hope this helps :)