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11 August, 16:56

For the function f (x) = (4 - 2x) 2, find f-1 and the domain and range of f and f-1. Determine whether f-1 is a function.

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  1. 11 August, 19:59
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    F (x) = (4 - 2x) 2 = 8 - 4x = > A linear Function

    f (x - 1) = [4 - 2 (x - 1) ]2 = (4 - 2x + 2) 2 = (4 - 2x) + 4 = f (x) + 4 = 12 - 4x = > A Linear Function

    Domain [f (x) ] = R

    Domain [f (x - 1) ] = R

    where, R is for Real Numbers.
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