00:01
Okay, we want to find the inverse of g of x equals one -third x plus four, and have all the steps to get there.
00:13
So first, i would have replaced g of x with y equals, just so it's a little bit easier.
00:22
So we have not found the inverse yet.
00:24
We just wrote it as y equals one -third x plus four instead of g of x equals.
00:31
So to find the inverse, x and y switch places.
00:36
They become the opposite of what they were.
00:43
So instead of y equals, i now have x equals 1 3rd y plus 4.
00:48
And then to get it in the way that we're used to thinking, we need to solve for y and get y by itself.
00:55
So first thing i need to do is isolate the term with y.
01:00
So i want to get rid of that plus 4.
01:02
So to do that, i'm going to subtract four from both sides.
01:08
Now i'm going to come up here...