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 :

For the square root function to be defined, the expression inside the square root must be non-negative.

So .

Solving this inequality, , which gives .

Therefore, the domain of is: Domain of .

2. Range of :

Since the square root of a non-negative number is always non-negative.

As varies from -2 to infinity, will also take on values starting from 0 and going to infinity.

Thus, the range of is: Range of

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