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If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

1 Answer

5 votes
f(x) = 8 - 10xg(x) = 5x + 4
(fg)(x) = (8 - 10x)(5x + 4)
(fg)(x) = 40x + 32 - 50x^2 - 40x
(fg)(x) = 32 - 50x^2
(fg)(-2) = 32 - 50(-2)^2
(fg)(-2) = 32 - 200
(fg)(-2) = -168
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