00:01
This problem gives us a table that gives input output pairs for function f and g with x values of 2, 3, 5, 6, and 9.
00:07
And we want to evaluate a few expressions.
00:10
A couple of them are function compositions, a couple of them are inverses.
00:15
And then there's a composition of inverse 2.
00:17
So for f of g of 2, when we have a function composition, we need to first figure out what the innermost function is because we're evaluating f at whatever g of 2 is.
00:27
So g of 2 would be the y value that we get from the x value of 2, and that looks to be 5.
00:33
So what this is asking us to evaluate is f of 5.
00:37
And f of 5 would give us 9 from our chart or our table.
00:41
So f of g of 2 is equal to 9.
00:44
For the inverse of 3, inverses change what you're looking for.
00:48
And instead of looking for the y value that accompanies that x value that you see, this is actually giving us the y value and saying what x value would give us that.
00:57
And the f function...