00:01
So this is a four -part question as we have to find four functions in their domains.
00:05
So we're given functions f of x and g of x, and we'll begin by adding them together.
00:12
So f plus g of x is 4x plus x plus 1, which equals 5x plus 1.
00:24
And since there are no restrictions, this is a linear function.
00:28
Our domain is all real numbers, or negative infinity to infinity in interval notation.
00:37
Then we'll do the subtraction.
00:41
So f minus g of x is 4x minus the quantity x plus one, which is 3x minus 1.
00:54
Let's actually make these clear.
00:58
So this is our function, and then this is a linear function, so there are no domain restrictions.
01:05
So our domain is negative infinity to infinity.
01:09
Then we'll multiply them.
01:14
So f times g of x is 4x times x plus 1.
01:23
That will equal 4x squared plus 4x...