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ANSWER:
The product of the functions is 3x³ - 6x² + 5x - 10
Composite functions
Given the following functions expressed as
f(x) = 3x² + 5
g(x) = x - 2
In order to determine the value of (fg)x, we will take the product of the functions as shown
f(x)g(x) = 3x²+5)(x-2)
Expand to have;
f(x)g(x) = 3x³ - 6x² + 5x - 10
Hence the product of the functions is 3x³ - 6x² + 5x - 10
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