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14 December, 18:06

If the range of the function / [f (x) = / frac{ x }{ 4 }/] is {28, 30, 32, 34, 36}, what is its domain?

A) {112, 120, 128, 136, 144}

B) {118, 122, 124, 132, 145}

C) {110, 118, 122, 124, 137}

D) {111, 124, 128, 132, 146}

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  1. 14 December, 22:04
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    The answer is A. 112,120,128,136,144

    Given the function f (x) = x4 f (x) = x4, substitute the range values into f (x) f (x) and solve for xx.

    Substituting 28 into f (x) f (x):

    28xx = x4 = 28⋅4 = 112 28 = x4 x = 28⋅4 x = 112

    Substituting 30 into f (x) f (x):

    30xx = x4 = 30⋅4 = 120 30 = x4 x = 30⋅4 x = 120

    Substituting 32 into f (x) f (x):

    32xx = x4 = 32⋅4 = 128 32 = x4 x = 32⋅4 x = 128

    Substituting 34 into f (x) f (x):

    34xx = x4 = 34⋅4 = 136 34 = x4 x = 34⋅4 x = 136

    Substituting 36 into f (x) f (x):

    36xx = x4 = 36⋅4 = 144 36 = x4 x = 36⋅4 x = 144

    The domain of the given function then is { 112,120,128,136,144 }
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