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4 February, 23:28

Which expression represents the composition [g o f o h] (x) for the functions below?

f (x) = 5x - 4

g (x) = 5x3

h (x) = 3x

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  1. 5 February, 01:45
    0
    Answer: 16875x³-13500x²+3600x-320

    Step-by-step explanation:

    [gοfοh] (x) means g (f (h (x))). So you plug in h (x) into f (x) and that into g (x).

    f (3x) = 5 (3x) - 4=15x-4

    g (f (3x)) = 5 (15x-4) ³

    g (f (3x)) = 5 (3375x³-2700x²+720x-64)

    g (f (3x)) = 16875x³-13500x²+3600x-320
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