### Home > CCA2 > Chapter Ch12 > Lesson 12.1.1 > Problem12-9

12-9.

Given the function $f(x)=2+\sqrt{2x-4}$, find:

1. 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?

1. The inverse equation.

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

1. The domain and range of the inverse.

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