F(x) = 2x² + 4x + 4 G(x) = 3x - 7

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.

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

Where........ In....... Come

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