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19 March, 03:48

F (x) = x2 - 8x 15 g (x) = x - 3 h (x) = f (x) : g (x) h (x) =. The domain of h (x) is U

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Answers (2)
  1. 19 March, 06:28
    0
    h (x) = x - 5

    set of all integers except 3

    -∞ ≤ x ≤ ∞ and x ≠ 3

    Step-by-step explanation:

    Given the two equations in the question

    Equation 1

    f (x) = x² - 8x + 15

    Equation 2

    g (x) = x - 3

    To find equation 3 that is h (x) we need to divide f (x) by g (x)

    f (x) / g (x)

    x² - 8x + 15 / x - 3

    By using quadratic factorisation

    (x-3) (x-5) / (x-3)

    Cancel (x-3) from both numerator and denominator

    h (x) = x-5

    The domain of h (x)

    set of all integers except 3

    -∞ ≤ x ≤ ∞ and x≠3
  2. 19 March, 07:01
    0
    first blank is x-5

    second blank is - infinity, 3

    third blank is 3, infinity
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