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Determine the points at which the function is discontinuous and state the domain using interval notation

f(u)=(4-u^2)/(7u+7π-u^2-uπ)

Please help.

  • Math -

    It is discontinuous where the denominator is zero, because division by zero is undefined.

    so, where is
    7u+7π-u^2-uπ
    = 7(u+π)-u(u+π)
    = (7-u)(u+π)
    zero?

    So the domain is all reals except those values.

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