Question

how do u find the domain??
g(x)= sqrx+5 ??

Answer 1

The domain is the set of numbers \(x \) that you can put into \(g(x)\) to get a real output.

Consider the parts of your function that may have values that make the expression undefined or not real and set up an inequality for it (or not-equal-to).

Answer 2

so that would just be -5?

Answer 3

\[ \large g(x) = \underbrace{\sqrt{x+5}}_{nonnegative}\\
\implies x + 5 \ge 0 \]

Answer 4

Well, you'll have -5 as one of the points in the domain (-5+5 = 0, sqrt(0) = 0 exists), but any number greater than -5 will also be in the domain because they also work.

Answer 5

then -5 to infinity?

Answer 6

So, the domain would be all real numbers \(x \ge -5\), or \([-5,\infty)\), yeah.