00:01
We need to find g of f of x and f of g of x given the functions f of x and g of x.
00:09
So for the first one, in g, we're going to replace all the x's with f of x.
00:14
So instead of starting with x, we're going to start off with negative x to the third power minus seven.
00:23
And then we have plus one.
00:25
So this simplifies to negative x cubed minus six.
00:29
So our second one, we're going to replace g of x for all the x is in f.
00:35
So this becomes negative x to the third power minus seven.
00:41
So in the parentheses, we have x plus one.
00:46
So we're going to do the sum of cubes.
00:49
So this becomes x plus one times x squared minus x plus one.
01:02
And then minus seven...