00:01
Let's consider this function g of x.
00:06
What we want to do is first determine the domain on which g is properly defined.
00:12
And then we want to sketch a graph of this function to see what it looks like on that domain.
00:18
So to the first end, to find the domain, we want to look for x values that cause this function to be undefined or cause it problems.
00:26
Two of the biggest culprits of this are division by zero and negative under.
00:32
Square root signs.
00:34
So we don't have any radicals in this function, but we are dealing with a rational function.
00:38
So we want to look at the denominator.
00:40
And we see that the denominator is equal to just x.
00:44
So at x equals 0, we have division by 0.
00:47
So g is not defined there.
00:51
So let's just note that for now.
00:56
X not t.
01:04
Next thing we need to consider is this absolute value function here in the numerator...