### Home > INT3 > Chapter 8 > Lesson 8.2.1 > Problem8-68

8-68.
1. Consider the function f(x) = 2 + . Homework Help ✎

1. State the domain and range.

2. Write the equation of the inverse.

3. State the domain and range of the inverse function.

Sketch a graph. What is the smallest x-value you can use before the number under the radical sign becomes negative?
What is the smallest y-value that can result from this equation?

$f^{-1}(x) = \frac{(x-2)^2}{2}+2$

Remember that in an inverse, x and y are interchanged. Reverse the domain and range you found in part (a).