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Find fog and gof: f(x) = 256x^4 , g(x) = √x

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Find fog and gof:

f(x) = 256x4 , g(x) = √x

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f(x) = 256x4 , g(x) = √x

(fog) (x) = f(g(x)) = f (√x) = 256 (√x)4 = 256x2

(gof) (x) = g(f(x)) = g(256x ) = \(\sqrt{256x^4}= 16x^2\)

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