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About LinkBacksFor continuity the function must be definded.Originally Posted by nautica17
\;( - \infty ,2) \cup (2,\infty )\;\& \;b)\;( - 4,\infty ))
1. f(x) = (x+2)/(x^2 -4)
2. f(x) = (2x+1)/(sqrt x+4)
So if I'm doing this right, then I got (-inf,2] for the first one, and [-4,inf) for the second. But, that's just looking at a graph. So now how would you find these answers (if they are correct that is) by not looking on a graph. Is there some algebraic way of doing this? My textbook isn't helping me much with this kind of question.
Also as a side question; am I doing the interval notation correctly?
But see how do you know that? Is it just something that after a while you know when you see it? I know that polynomials are always continuous, but rational functions, do you just plug some numbers in? I know this is probably a silly problem, but I've always had troubles understanding things related to domains.For continuity the function must be definded.
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