00:01
Here we're given a function, two functions actually, and we want to find the domains of some composite functions.
00:06
So f of x is going to be x cubed plus 3x squared, and g of x is going to be 5x squared minus 1.
00:14
Now if i were to take f plus g, that just means add them up.
00:18
That's x cubed plus 3x squared plus 5x squared minus 1, or x cubed plus 8x squared minus 1.
00:26
Now the domain when you add functions is just going to be the domain of the original.
00:30
This is the domain, is infinity, is all real numbers.
00:33
Domain of this is all real numbers, so this one is also going to be all real numbers, negative infinity to infinity.
00:38
If i wanted to find f minus g, well that's exactly the same thing...