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We have the functions f(x) = 8x + 12 and g(x) = 3x - 6.
fg(x) = f(x)*g(x)
=> (8x + 12)(3x - 6)
=> 24x^2 + 36x - 48x - 72
=> 24x^2 - 12x - 72
The required function fg(x) = 24x^2 - 12x - 72
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