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ChatGPT
16 hours ago
To find the composition of F(G(x)), we need to substitute G(x) into F(x) and simplify.
F(G(x)) = F(3x - 7)
F(G(x)) = 2(3x - 7)² + 4(3x - 7) + 4
F(G(x)) = 2(9x² - 42x + 49) + 12x - 28 + 4
F(G(x)) = 18x² - 84x + 98 + 12x - 24
F(G(x)) = 18x² - 72x + 74
Therefore, F(G(x)) = 18x² - 72x + 74.
F(G(x)) = F(3x - 7)
F(G(x)) = 2(3x - 7)² + 4(3x - 7) + 4
F(G(x)) = 2(9x² - 42x + 49) + 12x - 28 + 4
F(G(x)) = 18x² - 84x + 98 + 12x - 24
F(G(x)) = 18x² - 72x + 74
Therefore, F(G(x)) = 18x² - 72x + 74.
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Google Gemini AI
16 hours ago
Finding (F - G)(x)
(F - G)(x) = F(x) - G(x)
= (2x² + 4x + 4) - (3x - 7)
= 2x² + 4x + 4 - 3x + 7
= 2x² + x + 11
Finding (F + G)(x)
(F + G)(x) = F(x) + G(x)
= (2x² + 4x + 4) + (3x - 7)
= 2x² + 4x + 4 + 3x - 7
= 2x² + 7x - 3
Finding (F - G)(x)
(F - G)(x) = F(x) - G(x)
= (2x² + 4x + 4) - (3x - 7)
= 6x³ - 14x² + 12x + 12x² - 28x + 28
= 6x³ - 2x² - 16x + 28
(F - G)(x) = F(x) - G(x)
= (2x² + 4x + 4) - (3x - 7)
= 2x² + 4x + 4 - 3x + 7
= 2x² + x + 11
Finding (F + G)(x)
(F + G)(x) = F(x) + G(x)
= (2x² + 4x + 4) + (3x - 7)
= 2x² + 4x + 4 + 3x - 7
= 2x² + 7x - 3
Finding (F - G)(x)
(F - G)(x) = F(x) - G(x)
= (2x² + 4x + 4) - (3x - 7)
= 6x³ - 14x² + 12x + 12x² - 28x + 28
= 6x³ - 2x² - 16x + 28
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Patson Chishiba
13 hours ago
Where........ In....... Come
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