HELP PLEASEEE If g (x) = x² + 6 and ƒ (x) = 2x − 4, find g (ƒ (x))

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HELP PLEASEEE
If g (x) = x² + 6 and ƒ (x) = 2x − 4, find g (ƒ (x))

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Explanation:

Plug in 2x-4 in the function g(x)

$g(f(x)) = {(2x - 4)}^(2) + 6 \\ \\ g(f(x)) = (2x - 4)(2x - 4) + 6 \\ = 4 {x}^(2) - 8x - 8x + 16 + 6 \\ g(f(x)) = 4 {x}^(2) - 16x + 22$

HOPE THIS HELPS

Gonca answered Dec 31, 2023

by Gonca

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