00:01
In this problem we have been given three functions, f, g, and h, and we want to find f composition g, composition, h of x.
00:10
Using the definition of composition of functions, this will be f of g of h of x.
00:17
So we have f of g of h of x and h of x is x plus 12.
00:24
So we end up with f of g of x plus 12.
00:28
Now g of x is x squared plus 2, so g of x plus 12.
00:32
Will be x plus 12 squared plus 2.
00:36
And what is f of x? f of x is the square root of x plus 8.
00:41
So f of x plus 12 whole squared plus 2 will be the square root of x plus 12 whole squared plus 2 plus 8.
00:49
So this is what we get...