Respuesta :
The product and the sum of the functions will be 3x² - 6x - 24 and 4x + 2. The value of the function (f - g) at x = 4 is negative 18.
What is a function?
In mathematics, functions are everywhere and are necessary for constructing physical connections. A function is a statement, rule, or law that establishes the connection between two variables.
The functions are given below.
f(x) = x - 4
g(x) = 3x + 6
Then the product of the functions will be
(f × g)(x) = (x - 4)(3x + 6)
(f × g)(x) = 3x² -12x + 6x - 24
(f × g)(x) = 3x² - 6x - 24
Then the sum of the functions will be
(f + g)(x) = x - 4 + 3x + 6
(f + g)(x) = 4x + 2
Then the difference in the functions at x = 4 will be
(f - g)(4) = (x - 4) - (3x + 6)
(f - g)(4) = x - 4 - 3x - 6
(f - g)(4) = -2x - 10
(f - g)(4) = -2 (4) - 10
(f - g)(4) = -8 -10
(f - g)(4) = -18
More about the function link is given below.
https://brainly.com/question/5245372
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