Given F(x) = 2x²-3x, evaluate F(3+h) - F(3).
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Penjelasan dengan langkah-langkah:
Given :
F(x) = 2x²-3x
F(3+h) = 2(3+h)²-3(3+h)
=2(9 + 6h + h²) - 9 - 3h
= 18 + 12h + h² - 9 - 3h
= h² + 9h + 15
F(3) = 2(3)²-3(3)
= 2(9) - 9
= 18 - 9
= 9
Then it is obtained
F(3+h) - F(3) = h² + 9h + 15 - 9
= h² + 9h + 6
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