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Hello, just a quick question. What would be the domain of the function f(x) = (x-2)/(x^3+x) ?
The only way a point can't be in the domain is if the function is trying to find the squareroot of a negative number or the function is divided by 0.
There are no squareroots in this function, but we do have a denominator.
The restrictions would be everywere except where x³+x = 0.
That would be at x(x²+1) = 0. Note that x²+1 is never 0,
so the only way the denominator would be 0 was if x = 0.
That is the only number (x=0) not in the domain.
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| Comment | Thank you so much! You are the best. I just recently had a surprise math test and was stumbling over this question, despite it's simplicity. I did answer that x is all real numbers, but 0. So hopefully, I will get it right. Thank you once again! | ||
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