00:01
For this problem, i'm given g of x equals x minus 6 and h of x equals 3x plus 6.
00:08
Now, first, i want to write g times h of x.
00:14
So that's going to be the same thing as g of x times h of x.
00:19
So all i'm going to do here is i'm going to multiply my two functions together.
00:27
So i'm going to foil this out.
00:29
So when i foil this, i get 3x squared.
00:35
Minus 18x plus 6x minus 36.
00:41
Now i just need to combine like terms, and i get 3x squared minus 12x minus 36.
00:50
So that is my g times h of x.
00:55
Next, i need to find g minus h of x.
00:59
Now that's going to be the same thing as just g of x minus h of x, which is going to equal x minus 6 minus 3x plus 6.
01:12
So i need to distribute my negative.
01:15
So i have x minus 6 minus 3x minus 6...