00:01
So if we want to solve these three, so for this first one, finding g inverse of negative 5, what this is really asking is the following.
00:13
So let's just say this is equal to sum number c here.
00:18
Well, if we were to apply g on either side like this, well, on the left, g and g inverse cancel out with each other.
00:26
And we'd have negative 5 is equal to g of c.
00:31
So we're really asking is what number do we have to plug into our function g to get out negative 5? and if we were to look out or to look to see what has an output of negative 5, we only have one point that has that.
00:49
So the answer to this, what is g inverse of negative 5, is going to be negative 2, because if we take negative 2 and plug it into g, we have an output of negative 5.
01:03
So this is going to be g inverse of negative 5.
01:09
Next, to find the h inverse of x, what we would do is we would come up here and first replace h with y or h of x with y, and then interchange x of y, and then solve for y.
01:25
So i'll do that off in the corner here.
01:27
So we'd have y is equal to 3x plus 2.
01:32
Now we interchange x and y, which is going to give x is equal to 3y plus 2.
01:42
And now we're going to solve for y.
01:45
So we'd subtract 2 over...