Hi, I'm having trouble with a domain problem, I think I'm going about it the wrong way, or maybe I'm missing something.
I need to find the domain of (f o g)(x). I started by finding (f o g)(x). I got:
I've found that f(x) must be greater than -1 and g(x) cannot equal 0. So the ranges so far would be:
Then I looked at the limitations of (f o g)(x). I found that it x cannot equal 0, x must be greater than or equal to . So as I see it, the limits I listed for f(x) and g(x) can be disregarded, since x must be greater than 2.5, which is bigger than -1 or 0.
My final answer should be:
Or so I thought, I tried to submit that answer and it came back as incorrect.
Am I solving this the wrong way? Thanks in advance.
That said, the rest of your post makes sense, and I can see why my answer was wrong if I could only figure out how to get the .
EDIT: Gah, the answer you've provided also comes back as incorrect I've tried it as [-1,0)U(5/2,inf) and [-1,0)U[5/2,inf). Can't see why it isn't working.
Hmm, okay I think I get that. isn't used in the final solution because that was a limiter put on f(x), but the x in f(x) isn't used in (f o g)(x), instead g(x) is used. Is that right?
On the other hand I'm still having a hard time seeing how to get:
I got the part of it but not getting the other half.