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13 May, 12:32

If f (x) = 3x2 and g (x) = x + 2, find (f*g) (x)

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  1. 13 May, 12:59
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    (f*g) (x) = 3 (x + 2) ² = 3x² + 12x + 12

    Step-by-step explanation:

    ∵ f (x) = 3x²

    ∵g (x) = x + 2

    ∵ (f*g) (x) means the domain of f (x) is g (x)

    ∴ We will put it like that f (x + 2)

    ∴ (f*g) (x) = f (x + 2) = 3 (x + 2) ² = 3 (x² + 4x + 4) = 3x² + 12x + 12
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