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

8-68.

Consider the function $f(x)=2+\sqrt{2x-4}$.

1. State the domain and range.

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?

2. Write the equation of the inverse.

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

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

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