Question

Can anyone help me with this? I need to find the domain and range for this equation
g(x)=(x^2 - 2x + 5)^(1/2)

Answer 1

What is the domain for the square root function?

Answer 2

positive and negetive infinity

Answer 3

Eh? I think it should be more like \((+\infty , 0]\)

Answer 4

So the thing inside the square root should be non-negative right?

Answer 5

yeah

Answer 6

\[x^2 - 2x + 5 \ge 0\]The thing you get for \(x\) is the domain.

Answer 7

I got that so far but I'm having problem with what it can't be like x neq 3 or .6 etc.

Answer 8

Hmm...

Answer 9

\[x(x - 2) \ge -5\]true for all reals.

Answer 10

so the domain is all reals.

Answer 11

that's it?