f(x) = x^2 + 2 g(x) = 2x^2 - 1

Find the domain of f+g, f-g, fg, and f/g

Can someone please explain to me how you would do this problem?

5 answers

f,g,f+g,f-g,f*g all have domain of all reals, since they are just polynomials.

f/g has domain all reals except where g=0, that is, x=±1/√2
So for any set of polynomials that are not in a radical, the domain will usually be all real?
yes. They're just a bunch of powers of x. For any real value of x, you can find the function value.
Ok, that makes sense. Thank you!
I am doing a similar problem where f(x) and g(x) are both square root of x+5.
To find the domain of f+g and all that would I find the domain of each function...[-5,infinity). And then what? How would I add each set up?
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