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7 February, 01:42

A linear function and its inverse are given.

y=4x-3

y=1/4x+3/4

Which tables could be used to verify that the functions are inverses of each other? Select two options.

x:1, 3, 5, 7, 9

y:1, 3, 5, 7, 9

x:-23, - 15, - 3, 1, 13

y:-5, - 3, 0, 1, 4

x:-18, - 12, 0, 3, 9

y:-24, - 18, - 6, - 3, 3

x:-5, - 3, 0, 1, 4

y:-23, - 15, - 3, 1, 13

x:-24, - 18, - 6, - 3, 3

y:-18, - 12, 0, 3, 9

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Answers (1)
  1. 7 February, 02:12
    0
    x: - 5, - 3, 0, 1, 4

    y:-23, - 15, - 3, 1, 13 for the function.

    x:-23, - 15, - 3, 1, 13

    y: - 5, - 3, 0, 1, 4 for the inverse.

    Step-by-step explanation:

    we know that if we have the function f (x) = y, then the inverse of f (x) (let's call it g (x)) is such that:

    g (y) = x.

    now we have

    y=4x-3

    y = (1/4) x+3/4

    The only table that works for our first function is:

    x: - 5, - 3, 0, 1, 4

    y:-23, - 15, - 3, 1, 13

    You can see this by replacing the values of x and see if the value of y also coincides.

    Then, using the fact that the other table must be for the inverse, we should se a table with the same values, but where the values of x and y are interchanged.

    The second table is that one:

    x:-23, - 15, - 3, 1, 13

    y: - 5, - 3, 0, 1, 4
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