00:01
So in this problem, we're told the f of x is the function three raised to the x power, and g of x is equal to the cosine of x.
00:07
Let's put that cosine back, or the x where it should go.
00:10
There we go.
00:11
So we want to find the range for the composition of f of g of x.
00:15
Well, let's start by finding f of g of x.
00:18
Well, remember, you always start with your inside function, which is g of x.
00:21
Well, in this case, that's the cosine of x.
00:23
So to find f of the cosine of x, we substitute cosine of x in place of x in place of x in our function.
00:29
So we'll have three raised to the cosine of x.
00:30
Of x power...