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Explain how to find the restrictions on the domain of a reciprocal function. (please explain it clearly) thank you!

  • math -

    In any reciprocal function or rational function, the possibility exists that the denominator could be zero.
    This would make the expression undefined, since we cannot divide by zero.

    So set the denominator equal to zero, solve for the variable, and the solution becomes the restriction for your function

    e.g. y = 5x/(x^ - 9)

    solve x^2 - 9 = 0
    x = ± 3
    So the restriction is that x ≠ ± 3

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