00:01
Okay, in this problem, we're given the two functions, f of x and g of x, f of x is x squared plus x, and g of x is x squared.
00:07
Now, for both of these, it's helpful to keep in mind that they both have a domain of all real numbers, or negative infinity to infinity, because there's no restrictions on these problems.
00:19
For any value you plug in, you're going to get a real number output.
00:23
So as we find each of these combinations of functions, we're just going to keep in mind that our original two functions have a domain of all the numbers.
00:31
So f plus g just means add f of x plus g of x.
00:35
So f plus g of x equals x squared plus x plus x squared, which is going to be 2x squared plus x.
00:46
Now the function we've created, we started with two functions that have no domain restrictions, and we've ended with the function that is of the same form.
00:54
It's a quadratic, so domain is all real numbers.
00:58
Okay, f minus g just means subtract g of x from f of x.
01:06
So we're going to say x squared plus x minus x squared.
01:11
Now, x squared minus x squared are going to cancel each other out.
01:15
That leaves us with just x...