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28-08-2021
Mathematics

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Given that f(x)=3x and g(x)=x²-4x-6 find (gof)(4) simplify answer

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ghaithgh ghaithgh

28-08-2021

Answer:

[tex] (gof)(x) = g(f(x)) \\ = (3x)^{2} - 4(3x) - 6 \\ = 9 {x}^{2} - 12x - 6 \\ \\ (gof)(4) = g(f(4)) \\ = 9( {4}^{2} ) - 12(4) - 6 \\ = 9(16) - 48 - 6 \\ = 144 - 48 - 6 \\ = 90[/tex]

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