00:01
In this problem, we're being asked to find the following function values based off the two given graphs for f of x and g of x.
00:06
So let's start with part a.
00:08
We want to find f plus g of 2.
00:10
Well, remember, this means that we need to find f of 2 and add that to g of 2.
00:15
Remember, f of 2 means what's the y coordinate when x is equal to 2 for our f function? well, when x is 2, f of x is equal to 4.
00:23
So that would be f of 2.
00:24
Now, we're going to do the same thing of g of 2.
00:26
So we're going to find when x is 2, what's our y value? and its y value would be negative 1.
00:31
So now to find f plus g of 2, we just need to add these, and 4 plus negative 1 is equal to 3.
00:37
So that will be the answer to part a.
00:40
Now, in part b, they want us to find f minus g of negative 1.
00:44
So remember, this means the same as f of negative 1 minus g of negative 1.
00:49
So first, f of negative 1.
00:51
So we look on our graph, and when x is negative 1, y is equal to 1.
00:55
So f of negative 1 is 1.
00:57
Then we'll subtract this by g of negative 1.
00:59
Well, when x is negative 1, g is equal to negative 4.
01:03
So that would be our g of negative 1 value...