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F(x) = -2x + 4
g(x) = 2x^2 – 2x - 8
Find: (gof)(x)

1 Answer

2 votes

Answer:

Explanation:


f(x)=-2x+4\\g(x)=2x^2-2x-8\\(g\circ f)(x)=g(f(x))\\=g(-2x+4)\\=2(-2x+4)^2-2(-2x+4)-8\\=2(4x^2-16x+16)+4x-8-8\\=8x^2+(-32x+4x)+(32-8-8)\\=8x^2-28x+16

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