oh, that makes more sense. :) yes, very often we rationalize the denominator to get the square root out of there, but i still commonly see it left as-is, so it's up to you. if you want to be safe, just rationalize it. :)
you just can't put a negative value underneath a square root, so values that result in a negative number under the square root can't be included in the domain. :)
Find (f/g)(x) and (g/f)(x) for the functions given by f(x) = radical x and g(x) = radical 4-x^2. Then find the domains of f/g and g/f. That is a problem from my precalculus textbook. If you can do a video on how you would solve this I would really appreciate it.
.The domain of the function should by determined before simplifying the function. for example let f(x)=x^2-1 & g(x)=x-1and we need to identify the domain of (f/g)(x).after simplifying, (f/g)(x)=x+1 and its domain =R but this is not true because (f/g)(x)=(x^2-1)/(x-1) and its domain = R-{1} not R
Thanks! And the closed captioning is actually a setting on your end. There's a little "CC" button in the black bar at the bottom of the video, and if you click it, the subtitles will turn off. Hope that helps!
