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Math Help - Finding the domain....urgent help needed

  1. #1
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    Finding the domain....urgent help needed

    How do I find the domain? Could someone please assist me through one of these problems? I vaguely remember going over this but I need to review this material...any assistance would be great!
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  2. #2
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    f(x)=\sqrt{x+2}.

    x+2\ge0, 'cause you cannot have a negative quantity.

    --

    For the second one, observe that x^2+3x-10=(x-2)(x+5). What should it be the expected domain?
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  3. #3
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    would it be X + 5? because you cannot have a negative?
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  4. #4
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    Not exactly.

    On the denominator, the values 2,-5 make this one zero, then you'll get something like \frac a0 and that deserves a punishment.

    So the domain will be \text{Dom}\,f=\mathbb R-\{2,-5\}.
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