00:01
Let's find f plus g of x and its domain.
00:05
So, f plus g of x is equal to f of x plus g of x.
00:11
And so this equals replace f of x by x minus 3 and g of x by x squared.
00:17
And so this expression is f plus g of x.
00:22
Now we find its domain.
00:24
Observe that this is a polynomial function in x.
00:27
And so therefore, this is defined for all values of x in d .e.
00:31
Numbers and so we write the domain in intro notation as negative infinity to positive infinity this is the domain of the function f plus g of x now let's find f minus g of x so this equals f of x minus g of x and this equals f of x is x minus g of x so this is the expression for f minus g of x.
01:05
This one is also polynomial function in x, which is different for all values of x in the real number system.
01:12
And so therefore we write the domain as from negative infinity to positive infinity is the domain of the function f minus g of x.
01:26
Now we find fg of x.
01:28
So this basically is a product of the two functions, f of x times g of x...