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17 March, 13:53

1. g (n) = to the second power - 2n

H (n) = 3N + 2

find g/h (n)

2. g (x) + 2x to the third power - x

h (x) + 4x

find (g. h) (x)

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Answers (1)
  1. 17 March, 16:54
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    1. g/h (n) = (n^2 - 2n) / (3n+2)

    If this form is fine, this is the final answer. But if you need to divide, then we divide each term in the numerator by 3n+2:

    = n/3 - [8n/3 / (3n+2) ]

    = n/3 - 8/9 + 16/9 (3n+2)

    = n/3 - 8/9 + 16 / (27n+18)

    2. g (x) = 2x^3 - x

    h (x) = 4x

    If that's a multiplication dot:

    (g. h) (x) = (2x^3 - x) (4x) = 8x^4 - 4x^2

    But if that's a hollow composition dot:

    (g of h) (x) = 2 (4x) ^3 - (4x) = 128x^3 - 4x
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