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March 25, 2017

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find the domain of each rational expression each polunomial must be fully factored and that you can only cancel factors you can not cancel terms. x^2-49 over 2x-1 and x^2-14+49 over 1-2x

  • algebra - ,

    first one:

    (x-7)(x+7)/(2x-1)

    well all x are ok, except for x=1/2: division by zero is not defined.

    range:
    consider look at the transition of sign changes: at x=-7, x=7, and x=1/2

    at x=-8, signs are -*-/- or negative
    at x=-6, signs are -*+/- or positive
    at x= .55, signs are -*+/+ or negative
    at x=8, signs are +*+/+ or positive

    so the range is from -inf to +inf

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