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Marat540 [252]
3 years ago
12

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

Mathematics
2 answers:
Norma-Jean [14]3 years ago
4 0

<u><em>Answer:</em></u>

(f-g)(x) = -12x³ + 12x² - 20

<u><em>Explanation:</em></u>

<u>We are given that:</u>

f(x) = -12x³ + 19x² - 5

g(x) = 7x² + 15

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

<u>This means that:</u>

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

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

<u>Now, we compute the subtraction by gathering like terms to simplify the equation</u>

(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 :)

Alex_Xolod [135]3 years ago
4 0

Answer:

all work is shown and pictured

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