Which domain restrictions apply to the rational expression? add (-x-2/9x^2-1 )+ (-5x+4/9x^2-1) i meant for the numbers in

Question

Which domain restrictions apply to the rational expression?
add
(-x-2/9x^2-1 )+ (-5x+4/9x^2-1)
i meant for the numbers in the parenthesis separated by / to be fractions

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Arya 2 weeks 2021-10-06T07:52:45+00:00 1 Answer 0

Answers ( )

    0
    2021-10-06T07:54:29+00:00

    Both expression have the same denominator: 9x²-1. Thus it must not be 0.

    9x²-1=(3x-1)(3x+1)=0, resulting x=+-1/3.

    Restrictions: x in R\{-1/3, 1/3}

    Adding those expressions:

    E=(-x-2)/(9x²-1 ) + (-5x+4)/(9x²-1)=

    (-x-2-5x+4)/(9x²-1)=(-6x+2)/(9x²-1)=

    (-2)(3x-1)/(9x²-1)=-2/(3x+1)

    E=-2/(3x+1)

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45:7+7-4:2-5:5*4+35:2 =? ( )