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21 June, 06:35

What is the domain of the function y=ln (12-4x/5)

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  1. 21 June, 06:54
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    x < 15

    Step-by-step explanation:

    Important: The domain of y = ln x is (0, ∞).

    Thus, to answer this question, we set the argument 12 - 4x/5 = to 0 and solve for x:

    12 - 4x/5 = 0, or 12 = 4x/5.

    Mult. both sides by 5, we clear out the fractions: 60 = 4x.

    Solving for x: x = 60/4 = 15

    Supposing we let x = 14, is 12 - 4x/5 = to 0

    Choose a test number based upon this 15: 14 is smaller and 16 is larger.

    Let x = 14. Is 12 - 4x/5 ≥ 0, as it must be?

    Is 12 - 4 (14) / 5 ≥ 0?

    Is 60 - 56 ≥ 0? Yes. Thus, the domain of the given function includes all real numbers less than 15.
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