How do you find the domain in interval notation for $f(x)=sqrt(x+7)/(x^2+7)$ ?

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Answer 1 · 2015-06-02T22:26:47

First note that for all $x in RR$ , $x^2+7 >= 7$ , so the denominator will always be non-zero.

Next note that $sqrt(x+7)$ is defined when $x+7 >= 0$ , that is when $x >= -7$ .

So $f(x)$ is well defined for $x in [-7, oo)$ which is therefore the domain of $f(x)$ .

How do you find the domain in interval notation for f(x)=sqrt(x+7)/(x^2+7)f(x)=sqrt(x+7)/(x^2+7)?