The domain of g(x) is the set of all possible input values for the function. In this case, the domain is [-1, 2), which means that the function can take on any value from -1 up to, but not including, 2.
To determine the domain of a function, you need to consider any restrictions on the input values. In this case, the notation [-1, 2) indicates that the function is defined for all values from -1 up to, but not including, 2. So the domain is all real numbers between -1 and 2.
The notation [-1, 2) indicates a closed interval, meaning that the endpoints (in this case, -1 and 2) are included in the domain. However, the use of a parentheses instead of a bracket on the right endpoint indicates that the endpoint is not included in the domain.
Yes, the domain of a function can be infinite if there are no restrictions on the input values. However, in this case, the domain is finite because it is defined within a specific interval.
No, the domain and range of a function are two different concepts. The domain is the set of all possible input values, while the range is the set of all possible output values. In this case, the range of g(x) is not specified, so it could be any set of real numbers.