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anonymous
 one year ago
Find the domain of the function f(x)= x^2/(7x1) and leave your answer in set notation.
anonymous
 one year ago
Find the domain of the function f(x)= x^2/(7x1) and leave your answer in set notation.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=\frac{ x ^{2} }{ 7x1 }\]

perl
 one year ago
Best ResponseYou've already chosen the best response.3The domain is the set of all real number inputs that make sense. Does it make sense to divide by zero?

theEric
 one year ago
Best ResponseYou've already chosen the best response.1I agree with @perl. The thing is, ALL functions have domains  that is a required for a function to be a function. Just, it's \(\it{assumed}\) a lot of the time. So, when no one tells you what it is, you have to assume that your \(x\) can be any value that gives you a result in the "range." That is the range part of the domain and range that are needed for the function. Normally, we make another assumption  the range is real numbers only (no \(\sqrt{1}\), for sure). So, the result of the function needs a value! Some expressions are undefined, like \(\dfrac{\text{anything}}0\). So, if some value would make \(f(x)\) be \(\dfrac{\text{anything}}0\), then \(x\) is NOT that. In other problems, you might see something like \(g(x)=\sqrt x\). If \(x\) is negative, like \(\sqrt{4}\), the result is not real, and we don't want it. There, we say \(x\) is NOT negative, so \(x>0\).
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