00:01
We want to determine if this function has an inverse, and so what i'm going to do is look at the graph.
00:08
So i went to my graphing calculator, and i went into y equals, and i typed in a function, and then this is just a standard viewing window, negative 6 to 6 on both axes.
00:19
So what we're looking for is to see that this is 1 to 1.
00:23
So it does pass the horizontal line test.
00:26
For every x, there's only 1.
00:27
And for every y, there's only 1x.
00:29
So it is 1 to 1.
00:30
That means it does have an inverse.
00:32
So now we can go back and find that inverse algebraically.
00:36
So i'm going to call the function y instead of f of x because it's easier to work with.
00:41
And then for the inverse we're going to switch x and y and then we're going to isolate y...