Question:

Domain Of The Rational Function!?

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f(x)= x(x-1) / 36x^2+72x+11

Please help, I don't understand this

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  1. Factor the denominator of the fraction to get

    (6x+1)(6x+11), since

    36x² + 72x + 11 --> (6x+1)(6x+11) if unFOILed.

    We know that we can't divide a fraction by zero, so the domain of the function would be all real numbers except when x = -1/6 and x = -11/6

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