How do you find the domain in interval notation for $f (x) = \frac{x + 6}{x^{2} + 5}$ $f(x)=(x+6)/(x^2+5)$ ?

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Answer 1 · 2015-06-06T09:30:04

The domain of a function is all the values that $x$ $x$ can take (in order to avoid having something like $\frac{a}{0}$ $a/0$ , which isn't defined).

In your case, $x^{2} + 5 > 0$ $x^2+5 > 0$ with $x in RR$ ; therefore, there is no way you could have a division by zero.

Thus, the domain $D = RR$ or, in interval notation, $D = ]-oo;+oo[$ .

How do you find the domain in interval notation for f(x)=(x+6)/(x^2+5) f(x)=x+6x2+5f(x)=(x+6)/(x^2+5) ?