00:01
So you are given the function f of x is equal to x cubed, and the function g of x is equal to 5x squared plus 11x minus 12.
00:15
So at first, the domain of f, since it is a polynomial, it has a domain from negative infinity to infinity.
00:24
Same thing for g of x.
00:25
It has a domain from negative infinity to infinity.
00:30
And then you need to find f plus g of x and its domain.
00:39
So f plus g of x is just f of x plus g of x plus g of x.
00:50
And then its domain.
00:52
Again, it is a polynomial.
00:56
So its domain is just negative infinity to infinity.
01:06
Okay.
01:08
And then the next part, you need to find f minus.
01:12
Minus g, so f minus g of x, just be careful with your use of parenthesis, or your use of negative signs.
01:24
So it's negative 5x squared minus 11x plus 12.
01:32
Again, it is a polynomial, so it has a domain of negative infinity to infinity.
01:42
And then f times g, so f times g of x is equal to x cubed to x.
01:51
Times 5x squared plus 11x minus 12.
01:58
That's still going to be a polynomial, so still negative infinity to infinity...