To find the domain and range of a function for the domain, we know the denominator can never equal 0. So we're going to start by saying t -, 2 can't be zero and solve for T so negative T can't equal -2 T can't equal 2. If we think about a number line, what it's saying is it can be any value on this number line except at that too. So the directions specify we have to use interval notation in order to use enter in full notation, we're going to leave read from left to right. We want to state everywhere that it can be true. So at negative Infinity all the way to two. Now we're going to use parentheses because we can never reach negative Infinity. Negative Infinity is a concept. We're going to use parentheses at 2:00 because we're not going to include two. If we included that point, we would have used a bracket. So then we're going to have union to to Infinity and course compass. Be aware that you have an Infinity key here. You have a union key right there. You have to use those keys while inputting the answers. Now to do the range, we need to actually think about flipping that F of T&T, or we could think of it as X&Y if we wanted. So we're going to have T equaling 3 / 2. I'm going to call F of Ty for right now. If we have T equaling 3 / 2 -, y, we're going to interchange. Well, let's cross multiply. So t * 2 -, y equaling 3. We're trying to solve for Y here, so we're going to divide each side by T. We're going to subtract 2, and then we're going to divide by a negative. So we get Y equaling 2 -, 3 / t When we look at this, we can see that T can't ever be zero because we can't have a denominator with 0. So we're going to say T can't ever ever be zero. The correct notation would be F inverse of T equaling this new equation 2 -, 3 / t. There's more than one way to do this. You might have had two t -, 3 / t also. Those are equivalents. So if T can't equal 0, once again, think about that number line. It can be anything but zero. So if it's anything but zero, we're going to have something that looks like this. To write it in interval notation, negative Infinity all the way up to 0 union, zero to Infinity. Read the directions. It says we have to do it in interval. Once again, remember we have Infinity sign and we have the union sign over here on the right. There's also a more button. If you ever think that you don't have the keys that you need, click on the more and see what else you have come up with.