00:01
We are given g of t is equal to the square root of t times one plus t all over t squared.
00:15
Now, the way i would do this problem, i would actually do a couple things.
00:19
Distribute that root t into the problem.
00:23
So that would be, and again, the square root of t is t to the one -half power.
00:28
When you multiply with the same base, you add the x -1.
00:31
But then i would also split up the t squared to divide each piece.
00:38
I hope that makes sense.
00:39
A lot of my students are really good about putting things together this way and factoring out, but then they struggle going backwards, which i get it.
00:48
But this is beneficial because now you can subtract your exponents.
00:54
So that's beneficial because then you can look at that and say, okay, well, g of t is equal to t one -half minus two is negative three halves...