### Home > PC3 > Chapter 6 > Lesson 6.2.3 > Problem6-106

6-106.

What is the inverse of each function below? Use correct notation.

1. $h(x)=2x^{3/2}$

$x=2y^{3/2}$

1. $j(x)=4\log_5(x-1)$

$x=4\log_5(y-1)$

$\frac{x}{4}=\log_5(y-1)$

$5^{x/4}=y-1$

1. $f(x)=4(2x-3)^{1/3}$

• $x=4(2y-3)^{1/3}$

• $\frac{x}{4}=(2y-3)^{1/3}$

• $\left(\frac{x}{4}\right)^3=2y-3$