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30 October, 20:18

The function h (x) = x^2+3and g (x) = x^2-6. if g (x) = h (x) + k, what is the value of k

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  1. 31 October, 00:03
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    The value of k is - 9

    Step-by-step explanation:

    ∵ h (x) = x² + 3

    ∵ g (x) = x² - 6

    ∵ g (x) = h (x) + k

    - To find the value of k substitute g (x) by x² - 6 and h (x) by x² + 3

    in the equation above to find k

    ∵ x² - 6 = x² + 3 + k

    - Subtract 3 from both sides

    ∴ x² - 6 - 3 = x² + 3 + k - 3

    - Add the like terms in both sides

    ∴ x² - 9 = x² + k

    - Subtract x² from both sides

    ∴ - 9 = k

    ∴ The value of k is - 9
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