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    Measurable functions

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    If f is measurable and almost everywhere nonzero, show that 1/f is measurable.

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    https://brainmass.com/math/graphs-and-functions/measurable-functions-89893

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    Please see the attached file.

    I am having difficulty integrating exponential. I want to compute the indefinite integral of r`(t)
    where r`(t) is the vector <3, -e(^ -t), 0> ...

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    This solution is comprised of a detailed explanation to answer if f is measurable and almost everywhere nonzero, show that 1/f is measurable.

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