00:01
For this problem, we want to find the domain of f divided by g.
00:04
So we're first going to start by looking at the domains of f of x and g of x individually.
00:09
So for f of x, our function is undefined when our denominator is zero.
00:15
So when 2x plus 5 equals 0.
00:19
So if we solve for x, we get x equals negative 5 halves.
00:30
So at x equals negative 5 halves, our function is undefined.
00:33
So the domain for f of x is all real numbers except x equals negative five halves.
00:40
And if we do the same for g of x, our denominator can't equal zero.
00:43
So 3x plus 9 equals zero.
00:48
So for x, these cancel divided by three.
00:56
We get x equals negative three.
01:00
So our domain for g of x is all real numbers except x equals negative three...