The range of the inverse square root function is x > 2.
We need to analyze the relationship between the domain and range of the original function.
Original Function:
Domain: x > 2 (all values of x greater than 2)
Range: y > 5 (all values of y greater than 5)
Inverse Function:
Domain: y > 5 (all values of y greater than 5)
Range: x > 2 (all values of x greater than 2)
In essence, the domain and range of the original function swap places when finding the inverse.
Therefore, the range of the inverse square root function is x > 2.