00:01
This question gives us a function and asks us to find the inverse.
00:04
The function that it gives, f of x, is equal to x minus 2 divided by x plus 7.
00:10
Now, we know when we're finding the inverse of a function, all we do is we replace the x's with y's and the y's with x's.
00:17
So let's go ahead and do that.
00:19
In our inverse function, f inverse of x, what we'll have is x equals y minus 2 divided by y plus 7.
00:28
Now, this is a little tricky because now we have multiple ys.
00:31
How do we do this? well, let's first start by taking things out of the denominator.
00:35
I'm going to multiply both sides by y plus 7 so that we don't have anything in a fraction.
00:41
If i do that, we'll get x times y plus 7 equals y minus 2.
00:50
So now what do i do from here? well, first i'm going to distribute this x into the parentheses...
