### Home > PC3 > Chapter 8 > Lesson 8.1.3 > Problem8-49

8-49.

Write the inverse equation of each function below. Use correct notation.

1. $f ( x ) = \sqrt [ 3 ] { 2 x - 1 }$

$x=\sqrt[3]{2y-1}$

1. $g ( x ) = \frac { 1 } { 2 } ( x - 3 ) ^ { 2 } + 1$

Since the original function is a parabola with a vertex at $\left(3, 1\right)$, restrict the domain to make the function invertible.

1. $h ( x ) = \frac { x + 3 } { 2 x }$

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

$2yx=y+3$