00:01
For this problem we're given a function and we're asked to find the domain and range of the function.
00:05
So first we need to find when is this function undefined? well, it'll give us an undefined value when we have the 1 over 0 when we have a 0 in the denominator.
00:15
And also when we have a negative in the square root because the square root of a negative number is undefined.
00:23
So first that's fine when this equals to 0.
00:26
Well, we can see 1 minus t.
00:29
Well, when we have 1 minus 1, that's going to give us a square root of 0, which is just going to be 0.
00:37
So when t is equal to 1, we have a problem.
00:41
So t cannot equal to 1.
00:43
Now let's find the other values, and let's kind of think of this as a number line.
00:48
And if we have 1 here, and we know 1's not good, let's check values to the left of 1.
00:55
So let's try a negative number, for example.
00:58
Or sorry, first let's try zero.
01:00
When we have one minus zero, that's just the square root of one...