To find the domain and range of the inverse function for the function , we first need to analyze the original function.
Step 1: Identify the Domain and Range of
1. Domain of :
The function is a linear function.
Linear functions are defined for all real numbers.
Therefore, the domain is: Domain of .
2. Range of :
Since it's a linear function with no restrictions on the output, the range is also all real numbers.
Thus, the range is: Range of .
Step 2: Identify the Domain and Range of
From the properties of inverse functions, we know that the domain of