Final answer:
The domain of the function can be expressed as t > 3, t ≥ -3, t ≥ 0, or t ≥ 3. Each condition defines a different set of possible input values for the function.
Step-by-step explanation:
The domain of a function represents the set of all possible input values for the function. In this case, the function has different domains to choose from. The domain is defined as t > 3, t ≥ -3, t ≥ 0, or t ≥ 3. Let's break it down:
- If the domain is t > 3, it means that any value of t greater than 3 is allowed, but t = 3 is not included. For example, t = 4, 5, 6, ...
- If the domain is t ≥ -3, it means that any value of t greater than or equal to -3 is allowed. For example, t = -2, -1, 0, 1, ...
- If the domain is t ≥ 0, it means that any value of t greater than or equal to 0 is allowed. For example, t = 0, 1, 2, 3, ...
- If the domain is t ≥ 3, it means that any value of t greater than or equal to 3 is allowed. For example, t = 3, 4, 5, 6, ...
So, depending on the specific function, the domain can be any combination of these conditions.