00:01
So this question has us computing the inverse function for three different functions.
00:06
So for the first, we're told that y equals f of x equals x over x plus 6.
00:14
And what we do is just swap x and y.
00:20
So i'll have x equals y over y plus 6.
00:27
You solve for y.
00:28
So multiply both sides by y plus 6.
00:36
That gives us yx plus 6x equals y.
00:42
Put all your ys on the one side.
00:44
So i subtract the y, and then i'll subtract the x, or the 6x to the other side.
00:50
You can factor y out, so you get x minus 1, and then you divide by that term.
00:57
So y is equal to negative 6x, divide it by x minus 1...