3 years ago

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Mathematics

1 answer:

kozerog [31]3 years ago

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Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$

Hence,

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Keywords: functions, Function composition

Learn more about functions at:

#LearnwithBrainly

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