math

Find the domain of the function
g(x) = (x+7) / (x^2 - 36)

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  1. The domain of a polynomial is R (real).

    The domain of a rational function (polynomial divided by another) is R less the points where the denominator becomes zero.

    The given function g(x) is a rational function where the denominator can be factorized into
    (x^2-36)=(x+6)(x-6)
    which enables you to locate the zeroes of the denominator.

    The domain of g(x) is R (real) less the two zeroes of the denominator.

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