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Find (f•g)(3) for the following functions. SO
f(12)= —15 and g(3)= 12
(f•g)(3)= _______

Sagot :

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answer

(f-g)(x) = -12x³ + 12x² - 20

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

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