00:01
So in this problem, we're looking to see whether they are graphically reflections over y equals x.
00:07
So in part a, i'm going to enter f of x equals 4x.
00:13
I'm going to enter that into y1.
00:16
I'm going to enter g of x, which is one -fourth of x into y2.
00:22
When i graph these two, i'm going to get a line that looks like this, and i'm going to get a line that looks like this.
00:30
Y equals x is this green line.
00:33
So graphically, yes, they are still inverses of each other.
00:39
When i take the second problem, and i want to test those, i'm going to see whether 3x plus 1 and 3x minus 1.
00:56
I'm again, enter this into y1, enter this into y2.
01:00
I'm going to sketch the graph.
01:01
If the graphs are reflection over the y equals x lines, then they are inverses of each other...