Question

I have another question regarding functions, but instead if you are adding up functions that are in a radical.

f(x) and g(x) are both square root of x+5.

To find the domain of f+g, f-g, fg, and f/g, would I find the domain of each function...[-5,infinity)? And then what? How would I add each set up?

Answer 1

f/g would be (-5,infinity) since g(5) = 0, and you cannot divide by 0.

"adding" sets is just taking their union. AUA = A

Answer 2

Ok. I get it. Thanks for your help.