00:01
Hello, our question says to find fog of x and gop of x and the domain of h if fx equals to x plus 5 and g x equals to x minus 5 and we need to simplify the answer.
00:13
So first of all see that we are given with fx equals to x plus 5 and g x equals to x minus 5.
00:22
If i talk about the domain of f that is going to be real and for a polynomial function it is always going to be real to real.
00:32
Always real to real.
00:34
This is a linear function.
00:35
And similarly, g is also going to be defined on real numbers.
00:39
All right.
00:40
Now, just see if i talk about fog of x, let's say fog of x.
00:46
So you'll be writing this as you will be writing this as f of gx.
00:52
So f of g of x.
00:56
All right.
00:57
Now, just see that i'll be writing, i'll be writing.
01:00
That f of g x so g x is written as x minus 5 so you'll be writing this as x minus 5 and then and after f of x minus 5 so you will be writing in the place of f this is x plus 5 so you'll be writing at the place of x x minus 5 because we are written with x minus 5 here all right so x minus 5 and then plus of 5 so you'll be writing x here so fog of x is going to be only the x and you will be able to notice that fog is going to be defined on real numbers.
01:41
So this is going to be real to real.
01:43
This is the domain...