How do you find the domain of $f(x) = x^2 + 5$ ?

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Answer 1 · 2017-07-16T01:38:13

See below.

Ignoring the $5$ , we know that $x^2$ has a minimum value of $0$ , which is achieved when $x=0$ .

When $x$ approaches $-oo$ , the range remains real (it approaches $oo$ ).

When $x$ approaches $oo$ , the range remains real (it approaches $oo$ ).

Thus, the domain of this function is $(-oo,oo)$ .

How do you find the domain of f(x) = x^2 + 5f(x) = x^2 + 5?