Algebra-2

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