(f g)(x) = x² - 2x - 8
The given functions are:
f(x) = x + 2
g(x) = x - 4
Note:
(fg)(x) = f(x)g(x)
Therefore:
(fg)(x) = (x + 2)(x - 4)
Simplify the expression by using distribution method
(fg)(x) = x² - 4x + 2x - 8
(fg)(x) = x² - 2x - 8
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