### Home > PC3 > Chapter 4 > Lesson 4.3.1 > Problem4-113

4-113.

​Write an equation for the inverse of each function below. Be sure to state any necessary domain restrictions.

1. $g\left(x\right)=\sqrt{2x}-3$

$x=\sqrt{2}y−3$

$x+3=\sqrt{2y}$

$(x+3)^2=2y$

$y=\frac{(x+3)^2}{2}$

1. $h(x)=2x^3+14$

$x=2y^3+14$
Now solve for $y$.