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24 March, 08:52

Identify the inverse g (x) of the given relation f (x).

f (x) = { (8,3), (4, 1), (0, - 1), (-4,-3) }

O g (x) = { (-4,-3), (0, - 1), (4, 1), (8,3) }

O g (x) = { (-8, - 3), (-4,1), (0, 1), (4,3) }

O g () = { (8, - 3), (4, - 1), (0, 1), (+4,3) }

O g (x) = { (3, 8), (1, 4), (-1,0), (-3, 4);

Answers (1)
  1. T
    24 March, 09:07
    0
    g (x) = { (3, 8), (1, 4), (-1,0), (-3, 4);

    Step-by-step explanation:

    Recall and use the fact that, the domain of a relation becomes the range of its inverse and vice-versa.

    Base on the possible answers, the given relation is f (x) = { (8,3), (4, 1), (0, - 1), (4,-3) }

    To find an inverse relation for f (x), we need to swap the x and y coordinates of f (x).

    The inverse of f (x) will have the ordered pairs: (3,8), (1,4), (-1,0), (-3,-4)

    Therefore the correct choice is g (x) = { (3, 8), (1, 4), (-1,0), (-3, 4);
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