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12 August, 09:20

What is (f⋅g) (x) ?

f (x) = x^2+2x-6

g (x) = x^4+3

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  1. 12 August, 12:59
    0
    The answer to your question is f (g (x)) = x⁸ + 8x⁴ + 9

    Step-by-step explanation:

    Data

    f (x) = x² + 2x - 6

    g (x) = x⁴ + 3

    (fg) (x)

    Process

    1. - Substitute g (x) in f (x)

    f (g (x)) = (x⁴ + 3) ² + 2 (x⁴ + 3) - 6

    2. - Simplify

    f (g (x)) = x⁸ + 6x⁴ + 9 + 2x⁴ + 6 - 6

    3. - Result

    f (g (x)) = x⁸ + 8x⁴ + 9
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